LP made from a digital master recording...

No more so than with CD. You think its the same only because you think. Because if you listen you will find it is not. Running a demagnetizer over the CD before playing, for example, it will sound a lot better. But only for a while. Within several minutes the effect, whatever it is, dissipates. Probably static but whatever, that is not the point. The point is you think its always the same simply because its digital. Two things wrong with that. First, its not digital.

And second its not the same.

That’s not me theorizing and pontificating. That’s me listening and reporting. At the time I discovered the demag trick I mentioned it to a friend and he noticed the same thing once he paid attention and listened for it.

This question of yours it seems to me it strikes you as somehow new and original. Its an original performance each night. Every single night when I turn my system on it first goes through changes as it warms up. Then even after the amp is warmed up when I start playing a record same thing happens with the cartridge and phono stage. Then even once those all get warmed up and fairly stabilized the entire system continues to improve. Which at this point the rate of change slows to where its hard to determine whether its the system improving or the power supply. Because listening late into the night it just gets better and better.... until dawn is approaching and then its getting worse again. Which it could be the system is continuing to improve (likely), but not by as much as the power is getting worse. Or it could be the system stopped improving (unlikely, this takes more than 24 hours) and now the power is getting worse.

A couple salient points to keep in mind then. One, nothing is ever twice the same. And two, you can hear it. Well, technically I can hear it. We don’t know about you. And three, CD or LP, arbitrary choice. Same is true for the phono stage, amp, speakers, wires, outlets. Your choosing LP and CD is totally arbitrary. Its the same for everything.

I listen to vinyl because I enjoy music. As you said CD doesn't sound like music it sounds "crisp". Music doesn't sound "crisp" it sounds like music. So the tradeoff is a little noise along with the music, or noise. I'll take music.

Since no one seems willing to just come out and say it, this is all beating around the bush. It will never be the LP, or CD. Its the master tape. RTR uber alles.

It’s essentially a crap shoot

You don’t know the half of it! Everything you mentioned and more can be done to perfection, and still only one in a hundred copies somehow against all odds delivers the sublime sonic perfection records are truly capable of. Only the lucky (smart crazed fanatical) few with White Hot Stampers know what I’m talking about. The rest of you can talk all you want about hi rez this, digital that. Its frankly great the way things are with hardly anyone knowing. Between the lack of facilities, expertise, and now even raw materials its hard enough to keep up with demand as it is. Which you notice, no such problem with digital. Dreck we got coming out our ears. Quality, never had that problem. So its really good people don’t know. Crap shoot. That’s what it is. Records suck. Go digital! Hi rez! Heh.

When an LP is pressed using a digital master recording as the source, does that LP still have an analog advantage?

It sure seems that way. What makes it hard to say for certain is the problem of how to compare. Because what you're asking really boils down to which is better the LP or the CD. And while we all know the answer, the CD guys can't handle the truth, and will deny to the point of death, till you pry the remote from their cold dead hand.