Caelin,
Indeed at CES 2015 we played a track off of Damien Rice's recent album on vinyl for Rick Rubin (the producer) and compared it to the 24/96 file. Even Rick agreed that the LP had a warmer fuller mid-range than the digital file in this instance, though he preferred the bass on the digital file (the digital file had less bass from the kick drum which were exciting a room node in the Hotel).
Here is a link to Michael Lavorgna's experience -
http://www.audiostream.com/content/mola-mola-makua-preamplifierdac-and-higher-note-and-lesson#FouxiKrBrqvtpGYK.97
Bruno Putzey's (designer of the famous Grimm AD1 ADC, Grimm LS1 speakers, Kii 3 speakers, Mola Mola electronics, investor of Universal Class D) explanation was that while the CD, LP & high rez file all originate from the same recording. The analogue & digital masters are quite different. In the increasing digital loudness wars, to keep the vocal as loud as possible, not only are all the other instruments dynamically compressed but when a loud passage or crescendo occurs, no over-saturation is possible in the digital domain, meaning you cannot exceed 0dB. So in the case of the Damien Rice track "I Don't Want To Change You" from "My Favourite Faded Fantasy" which opens quietly building up to a tremendous climax, in the digital release version, the engineer's only option at the climax was to reduce / compress the bass at the kick drum as the vocal was getting louder. While on the LP, there is much greater bandwidth, due to less compression being applied.
However, it is also true that not every LP automatically sounds better than the equivalent digital download. Sometime the LP is cut from the CD digital master, in which case it often sounds worse than the CD, forget about the high rez download. Some of the vinyl rips as well as transfers from the original master tape sound sublime.
BTW, the LP does not sound the same as the master tape; the LP has more bass bloom which is usually not on the tape. I hope this is of help.