The ear is an easy thing to fool. I used to service Otari, while you may feel that it is transparent the fact that the channels are not all calibrated identically and also have individual amplitude & phase curves means that they are all different even if you can't hear the difference. Same goes for digital, except that the channels will all sound identical, and it will be even closer to the sound of the source even if you don't appreciate all the signal degradation that happens via an analog tape machine. There is a difference between accurate and what you feel that you prefer.
I've worked extensively in both worlds (analog and digital), but am much more of an analog guy. It does pain me to say that digital can be just as good or better than the analog circuits that I have designed, but I don't claim that analog is always going to sound better even if I designed in the analog domain. It's all about the intent and skill of the designer more than the actual technology. I do agree that often the digital user interface pretty much sucks compared with the analog interface, but that's what's being accepted these days.
The ear is an easy thing to fool, but not as easy as the mind. If you or i or the "golden ears" of audio cant tell an audible difference, then there is no practical difference or any difference worth talking about. Case in point: for a long time DSD was considered the holy grail of digital, and in fact sadly many high end experienced and accompished engineers sti think it is. However, AES did comprehensive blind tests and scientifically proved it was completely and utterly indistinguishable from PCM. I cant and wont fault anyone for thinking that dsd sound better to THEM, because i know the extreme power of placebo effect and that one can and does hear differences that are not there. I know what you are saying about being pained by the high quality of digital, and trust me i know the feeling. I have a $5000 tube eq that has been shown to be indistinguishable from the high end modeled plug in version. How do you think the million dollar stradivarius owners felt when it came out they were no better than modern instruments in blind tests? Its far easier to bury your head in the sand and continue to believe myths that have been proven false.
So my ears and mind are not easily fooled. I do blind tests all the time ( though obviously not double blind) and I actually came up with a psychological distinction in audio engineering which i call absolute vs relative listening. It involves the difference between comparing two audio signals vs evaluating them on their own. Its kind of like the "pepsi challenge" of the 80s where pepsi exploited a human psychological phenomenon to sell soda. They gave people two small samples of coke and pepsi, and pepsi would win almost every time because it is sweeter. But it was later proven that the perceived superiority was negated when people were asked to evaluate the two by themselves or by drinking larger amounts, which is analagous to absolute listening.
The idea is that when comparing two signals in the standard a/b test the signal that is louder or brighter even by a fraction of a db will sound better, and this is also scientifically proven. But that doesnt mean that perceived quality difference will translate to a whole mix or that the sacrifices in dynamic range for loudness will make a listening experience better in the absolute.
But anyway back to tape, not all machines are created equal, but clean (not artificially colored by analog front ends which is what companies are doing now to distinguish themselves) digital converters of the modern era are almost completely homogeneous.
My particular machine is very transparent, disregarding any small level or eq changes due to drifting alignment (which i check every month or so, and sometimes adjust if it goes out by more than a db) which are not audible. My machine was sort of an anomaly in that it was one of the last machines designed before digital took over and is extremely precise. I have done lots of blind a/b tests between sources, and digitally and tape recorded sources, and digital does better at certain sources and my machine does better accuracy with, generally speaking, electric instruments like bass,guitar, clavinet, and analog synths.
The term "transparent" can mean different things,and digital seems to capture acoustic environments and instruments better meaning digital is transparent in that way, while my particular machine capture the liveness and realness of electric instruments. This is not just in my mind, i have had engineer friends say the same.
But again it doesnt really matter. Any self respecting engineer can make a good album with just stock pro tools and stock plug ins. But we pick the gear that is most inspiring and best fit for us.