Garbage in, garbage out. What you're really saying is that good masters beat bad masters - nothing to do with vinyl at all. In the context of the larger discussion, this is disingenuous; the return of vinyl means that the new stuff will have the same "loudness war" problems that the digital stuff has. Unless you're claiming that artists are saving a super-duper special master just for their vinyl customers.
In a larger sense, this comment exemplifies the fallacy of gray[1]. Just because neither of them are perfectly accurate doesn't mean that CDs aren't more accurate.
As for the fallacy of gray and the idea of loudness wars in vinyl mastering... nope. Two reasons. First, the loudness wars are a function of competitive reproduction on the radio or television. That competition doesn't really exist in the vinyl world, where listeners tend to listen to an entire album in a sitting. Second, it's not physically viable to make vinyl records much louder than they already are. High RMS volumes can make the needle jump the groove, or introduce a lot of downstream distortion (not the pretty kind).
Rather than fallacy of gray, this is more like saying you should eat with a bucket rather than a spoon because a bucket can hold larger bites. It doesn't matter if digital is technically "better" if there's no good way to take advantage of the additional benefits in can provide in practice.
(This all said, I'll record in digital rather than on tape, any day. The editing and management benefits are tremendous.)
There is actually a "super-duper special master just for vinyl" in many cases, with more dnamic range. The reason I've heard for that happening, though this could be wrong, is that the needle would be more likely to jump out of the groove with the loudness that CD masters are often getting. Whether that's true or not, the vinyl release often has a different, less compressed master. Some people rip the vinyl versions to digital for that reason.
Vinyl has also been a production afterthought since about 1990. You'd create a stereo mixdown and send it to the mastering engineer--but by then it would often have some master bus compression already applied to it, equalization, and limiting. The mastering engineer would spend most of their time, day in and day out, working with music meant for CDs, and maybe they'd tweak the CD master a little bit to make it acceptable for vinyl. So, basically, by the time the loudness war started, people didn't care enough about vinyl to make a special vinyl master, and by the time the vinyl resurgence hit us, the loudness war was mostly over.
Hell, there's a ton of vinyl out there where they used the CD as a master, rather than using the original mixdown. The mastering engineer will cut a normal CD and send it to another mastering engineer which specializes in vinyl.
Of course, there are exceptions. There are records mastered separately for CD and vinyl, and there are artists who would deliver pristine mixdowns to the mastering engineers. But the vast majority of vinyl releases are not special. There are even plenty of cases where the vinyl master was butchered a bit compared to the CD.
I'm not trying to argue that CDs are better than vinyl in practice. I'm just arguing that there's not a technical reason to prefer vinyl, at least for most releases. If the difference you perceive is important to you, then the difference is real.
Vinyl may sell "well" but not if you compare it to other media, such as CDs. Even though CDs continue to collapse in popularity they still move 8x as many units as vinyl (and they're more durable, smaller, higher fidelity, etc). Albums instead are getting mastered for iTunes and Spotify, and that's had a much better effect on master quality than the vinyl resurgence.
The loudness war is unfortunate, but a CD can be used properly to have plenty more dynamic range and plenty less noise than a record.
There are other benefits to analogue formats though, like soft clipping.
Good photography is about producing a piece of art which represents and evokes a scene the photographer saw. Film is a tool for doing that and the entire process surrounding it influences the choices the photographer/developer/printer makes in their interpretation of the scene. Digital is just another tool and has it's own downsides (its own "loudness war" for that matter, too).
Most people talking about "accurate" have no idea wtf they're talking about. I'm a musician, and I've produced records. At best, vinyl vs digital reproduction aren't "better" than one another, just different. But personally, I think vinyl can be more true to the music.
Start with dynamic range, since that's one of the spots where the "But it's more accurate!" people get it wrong. In theory, cd has far more dynamic range than vinyl. In practice, it has great deal less! This is a result of modern "loudness war" mastering. Most modern albums have less than 6db of actual dynamic range. Listen to something with more range than that, and it sounds flat and lifeless. Vinyl is usually mastered with significantly more dynamic range, but sounds more open and breathy - the way more dynamic range should sound.
And why is this? Because either way, most audio reproduction equipment is in no way able to reproduce the sound of instruments in an "accurate" way. You cannot shove the massive sound of a 100 watt Marshall stack through a pair of iPod earbuds, any more than you can look accurately at the Grand Canyon through a pinhole. So records are a miniature of a real sound. The entire recording, mixing, and mastering process is built around trying to capture the essence, the spirit of the original sound (or an ideal sound) in a way that can be reproduced on car stereos, cheap headphones, and the like. And the sound itself isn't exactly accurate, not on a record where the acoustic guitar is as loud as the drum kit!
Accuracy. Hah.