Thanks for the precision... i understand better your question...
my above answer then is the same...
I dislike headphone listenings with any headphone i tried compared to room/speakers to begin with... the only exception is the K340...
I own only one recorded album on thousands that give me a soundfield encompassing me and all the room which is not so well holographic with my headphone... Kurt Weil 4 penny opera with Lotte Lenya... A top recording.among all top recordings and the best interpretation of this work.. It was one of my test album for the tuning of my room... 😊
A top speakers in a dedicated room will beat the K340... On soundfield holography ..... But the cost will be very, very high...But my K349 will beat almost antything which is not in a dedicated room... Save very costly top speakers...I dont know which because i never had one...
For my thousand others albums my headphone more than compete and because as i said pair of speakers going under 28 hertz clear and extended and going in the high frequencies as Stax goes cost a fortune, my actual headphone beat my speakers, annihilated them , even if my dedicated room was able to beat my headphone with way more expansive speakers...Even My Tannoy dual concentric gold will not beat my headphone in the high frequencies for example...
Happily after losing my room i was so depressed i quit audiogon... I worked 6 months modifying and improving the K340 my only last possibilities... Now i am more than happy again...
Then i cannot answer you about a track better on headphone , my headphone is a bit less holographic than my acoustic room for sure, but the details and with classical music especially the "out of the head" effect are so powerful that i forgot my speakers which was the best speakers Mission ever designed say to me the Mission seller in Montreal but they were not enough with their measured specs to beat my K340...
As i said i spoke to Kennerton company in Russia and they said they quit making an hybrid because it is too difficult, too complex to figure out right, too costly in research and to assemble parts to make a profit as with other classic headphone...Then i learned why the only successful hybrid was the AKG K340 their flagship and the best ever..
Here is your answer, with the K340 everything sound better than with most average speakers, especially better if the speakers are in a living room acoustically unadressed , as most put them , and not in a dedicated room..
i learned a lot doing acoustic non stop each day for a year ( i am retired) but i will never tried to tune another room again... It is more than fun the first time because you learn each day... A second time with almost the same listening experiments time it will be a pain in the ass..😊
i will stay with my headphone till i die... Anyway i can buy Choueri BACCH system one day...The only possible upgrade for my 700 bucks system...
now i am so happy that each time i listen music i cannot stop ... i ended my optimizing process few months ago just before going back here...
i discovered two things :
the cost of good sound could be low, but average speakers lack in bass too much and in the higher frequencies... Then even in a dedicated room with holographic soundfield as i create one , you cannot cure these lacks in frequencies response... Then a real high end speakers/room not only cost a huge tuning amount of time but a very high cost in money for the speakers... i did not know this before my headphone work...I was not conscious of the bass limititations and high limitation of my good but average Speakers...
The bad news is apart for my K340 , i dislike ALL headphones i ever bought ( 9) and there is no comparison at all between a hybrid well done by Dr Gorike a physicist in acoustic , the only one real hybrid in history and most others headphones of any type... But you must correct a deep in equalization a bit over 1000 hertz to go nearer the Harman curve , you must open them and cut the secure big plastic grid which is there for protection not for the sound quality, , you must pick the right pads with the right volume to not affect the frequencies response badly I tried 5 types with different thickness volume, you must put inside anti vibratory materials ( sorbothane duro 70 patches and FoQ tape ) on top of that you must pick a powerful amplifier with much reserve and LOW noise floor...my excellent first Sansui AU 7700 who drove my speakers tube- like and easily was not able to do a clean job with the K340... i used a Sansui of the more refined Alpha series ...i drove them from the headphone out of very good quality...
The electrical noise floor of the house you will need to lower it too, This headphone pick it ...i know because i disconnected my paramax purifier ( too noisy now ) and connect directly the amp in the wall electrical plug of my last house secondary wall panel at the second floor and it was too noisy also ..In my new house the Amp is more directly connect from the main panel and it is day and night ..... i used a battery dac protected against EMI and RFI then the dac is not connected to the house grid. and low noise floor ..
With all that the headphone system gave me the best soundfield i ever listened too including anything i ever listened to... Even Stax..
I digressed and i apologize but at least you know why i cannot answer your question otherwise...