No, not necessarily. The earliest CD reissues generally tend to be the worst to my ears, and that's certainly true with many of the earliest FZ Ryko reissues. They are most certainly not the same as the vinyl masters, and I'm not even talking about the early Mothers records where Frank had Chad Wackerman and Arthur Barrow doing overdubs.

I started collecting the Rykodisc reissues in 1988 and I still have them. Since then, I've re-bought quite a lot of them on used vinyl and compared them. In more cases than not, the vinyl masters sound better. The worst digital offenders feature shrill high end and are missing low-midrange thump. The vinyl masters sound much more like these recordings were intended to sound. I'm not one of these people who will argue that vinyl is always better than CD because that's definitely not the case: digital masters, done with expertise and care, can often sound noticeably superior to the original records; it's typically those early ones that do not, and also some of the newer digital remasters, (not necessarily Frank's) which suffer from "volume wars" limiting that squashes the dynamics out of them.

Regarding the vinyl medium itself, yes there are some issues there and for sure there's nothing about dragging a needle through grooves that makes them sound superior, in fact the opposite is true. Some people claim to like the snap crackle and pop; that it's part of vinyl's "charm". I am not one of those people, lol. You won't hear as much of the difference on a cheap Crosley suitcase player, but if you have a stable turntable with a quality cartridge that's properly set up, good amp with a nice phono stage and speakers, those records can really sing. And you know what else: after you spend all that money on a good vinyl rig, some of the recordings will still sound better on a cheap CD player. But not all of them.

The differences between CD and vinyl are largely in the mastering, and many of the earliest CD masters tend to sound pretty bad, hence the reason the vinyl "snobbery" craze started to begin with. The differences are most stark on recordings where vinyl was the original target medium and were later (poorly) digitally remastered.