Here is the problem with this whole Vinyl vs CD debate. For me to do a comparison using my main system and current record and CD collection it is impossible to make a true comparison.
Let's try some Led Zeppelin.
First, for the vinyl record I have to decide which one to use. Should I use the George Piros mastered record I bought in the 70's that is still in mint condition or should I use the 180 gram remastered copy I bought several years ago? The sound is very different between these two. So right out of the gate we have to decide which of these is the better version. My guess is that this alone would muddy the waters since there are countless people that swear the GP master is the best, while others prefer the brighter sounding remastered album.
Next, which cartridge and stylus should I use? My choices are a Shure V15 type IV with either a JICO stylus or pull out my last OEM Shure stylus, or I can use a Shure 97XE with Shure stylus. Each of these have a slightly different sound.
(that's six possible configurations so far)
Next, I have to choose between the two CDs I own. One is the original release from the mid 80's. (spoiler alert: this one is not very good) The other is from the remastered Complete Studio Recordings that was produced by Jimmy Page.
Then I have to choose a CD player and path. My choices are either my Yamaha CD-2 analog out which uses one of the first BurrBrown DACs and was once rated as the closest to vinyl sound signature as you could get. Or should I use my newly purchased Onkyo C-7030? If I use the Onkyo, should I use the analog out since it has a pretty decent Wolfson DAC? Or should I use the COAX out and run it through my DAC, which has a more current BurrBrown chip than the Yamaha?
That's another six possible configurations, and a total of 36 possible side by side comparisons. That is just in my house on my main system. Or should I do it on my office system since it is all Technics and only has one option for CD and cartridge?
Now think of how many millions of possible combinations there are out in the world.
I have hundreds of albums that I own both on vinyl and CD and many of them I have multiple version of. I can setup a blind test that will make the vinyl record win, or I can setup a comparison that will make the CD sound better.
Just because a certain version of an album on CD sounds better to you than a certain version on vinyl, doesn't mean all CDs are better than all Vinyl Records. It just means that you prefer the CD when those specific samples are compared on your specific equipment configuration.
There are 786 different versions of Led Zeppelin's first album. (between CD, Vinyl, and tape) Which two do you even pick for your comparison?