Upgrade my CD player or futile effort?


I would appreciate you guys input. I listen to 90% vinyl  and 10% CDs due to a lot of new music I get into only comes out on CDs. My analog system sounds fantastic to my ears but unfortunately my digital falls short. My analog system consists of:
-VPI Classic 1 TT
-Lyra Kleos cart
-PS Audio Stellar phono preamp
-Prima Luna 100 preamp
-Parasound Halo A21+ amp
-PBN Montana XPS speakers
-Dual Rythmick
F-12 subs
My CD player is a Marantz CD6005 running through my analog system.
Compared to my vinyl, overall the sound from my CDs lacks the depth and definition in bass, comes short in the soundstage and overall space in presentation and does not have the
same clarity in treble.
If I rate my analog sound a 9, I would rate my digital CD a 7.
My question is, would I benefit from a better CD player, even so the CD6005 is no slouch, or am I gonna end up in a goose chase?
I realize my CDs may never sound as good as my vinyl, but I would try to improve it if you guys think it would be worth the effort. Are there really some outstanding CD players out there that can measure up to vinyl? Personal experiences only please, do not need sales pitches by equipment associations you may have never listened to. Also all my cabling and room setup is a 10 to me with the analog so I wouldn't change any of that for my CD player listening.  Thanks.

128x128baylinor
No computer/wifi in my dedicated listening house, and intend to keep it that way. But I hear the ones who swear by streaming. Different strokes for different folks. Or more simply, different pace of living. Music to me is not a technology miracle, rather a visceral physical experience. Hence I love the physical part of playing it. 
The DAC cleared customs and is in Memphis. May get it Monday. 10 days, pretty excellent from Singapore!
@holmz,what I do in the car is either stream from my server using Plex, or I use the Qobuz app on my iPhone.  No need for CD's!
Using my personal experience as a description to assist with the OP's inquiry.
I am new to using CD in my System, it has been a Source for a few years only, to be accurate since 2016/2017.
I am quite familiar with CD and have heard it as a source in many systems and have had a fair share of CD vs Vinyl Demonstrations.
Until my commencement of using CD as a Source, I was convinced that a Vinyl Chain as a Source was the only stimulus I required.

What changed was not such that an experience with CD was responsible for the change, but more motivated by how I was perceiving the use of CD in relation to it being a Second Source to the carefully created Vinyl Source. I was forming the view Cartridge Life could be extended if CD's of the same owned Albums was to be used to create an alternate listening experience with new hard media for already owned Albums that are Vinyl. 
My entrance into the use of CD was quite blunt, I put a CDP from a sons bedroom set up into my System and kicked of with my Sons CD's to get going.
Nothing special going on, but music was seemingly more convenient as I was not feeling the need to be adhered to the listening seat, I could crank up the Volume leave a few doors open and get on with a few tasks.

This evolved into a want to create the CDP experiences with better known music and hence the Journey began.

At a later period in 2017  a friend loaned me a Heavily Modified and much improved CDP and this was to show the used CDP to be very wanting.
I was impressed with the loaned CDP and began to carry out Vinyl vs CD replay comparisons, and the separation in SQ between the two sources was not too distant. It was definitely not in the same separation that was noticeable between the two CDP's.

Then came dilemma time, must return loaned CDP, must decide how to replace CDP ?  CDP or CDT > DAC was now the new thought process.
During this period I also went and had demonstrations form HiFI Dealers who presented streaming sources with a value of up to £6000 and one was in a System that retails at £100 000+, I felt the streaming system presentations was not impacting on myself, or making an impression I could attach myself to and want to pursue.

I did not use my well tried and test methods of getting out and trialling devices on a shortlist.
An opportunity came along to purchase a DAC, that was a early Prototype Production from a designer who has a range of DAC's.
I took the punt and purchased the DAC.
The DAC was first auditioned at another home on a system I am very familiar with and know the CDP qualities that are available within this system. Both myself and the system owner was quite impressed with how the DAC had created very noticeable and impressive changes to the CD replay in this system.

Cutting to the chase the DAC after a period of trials with CDP's and CDT's the DAC has now found a place where it has been coupled to a Perfect Wave Memory Player Transport for the past few years.
I don't see a need to make a change as I have heard the DAC in quite a few systems with other CD Drives.
I have not spent any energy pursuing any further changes, even though I have been through a selection of COAX Cables and feel I now have a ideal Cable in use.

As a comparison to the Vinyl Source, I have chose to a selection of these with HiFi minded friends in attendance. I feel confident to claim all assessments will evaluate that the outcome of these are a close run race. I have noted that  during a 'same Album' Vinyl vs CD comparison,            there are differences to be detected, but let one Album play on in CD for a short extended period and there will not be any want to return to the other Source, the listening experience is totally satisfying. 

For less than the outlay of a Cartridge that would be classed as quality Cartridge but not High End Spec', I have a CDT > DAC and a good selection of CD's to be replayed.  I don't have to concern myself too much about a loss of SQ, as there isn't much to be detected.
I can have music sit down in the listening chair sessions and be totally content, or heard all throughout the house levels of music, through not feeling the need of being in the Listening Room, just increasing the Volume and I am free to vacate as I do not feel the need to monitor the replay extensively. My discipline developed with Vinyl will not allow me to have this attitude towards a Vinyl Replay.

My hierarchy of music replays are Vinyl
( Too Long a relationship with the care of the Vinyl Media, the reverence of the Total Luxury Cartridge Purchases, and the pursuing of knowledge for extending my understanding of the critical mechanics and geometric interfaces are a underlying obsession) 
CD follows, but now with a conviction for the Source, Listening Freedom and a SQ that I did not foresee being produced.
(Thankfully the CD Media does not cause me an obsessional pursuit of furthering my knowledge)
'Amazon Alexa' an Ancillary used for convenience and gaining Speedy reminders of music I am depriving myself of listening to on the system, as well as reminding myself of forgotten past musical encounters, this is a wonderful device as a Low Tech streaming method with a SQ that has room for many improvements. 
(My most extended periods of hearing music being replayed over the past 18 Months is through Alexa, the total convenience is quite unavoidable it is seemingly always turning out tunes)
Serious attempts at streaming are not seeming to become a priority, but I am optimistic that a method will be discovered to get my interest going.