Do cd's store a more exact copy of sound than LP's


I am very interested in moving into the vinyl/analog world after several very rewarding auditions. However, I came across this comment of someone in the recording industry:

"LPs can and do sound absolutely sutnning with the right turntable and vinyl, but don't fool yourself - it is a euphonic coloration. SACD, DVD-A, CD or analog tape are a more accurate method of storing a more exact copy of what is on the master tape"

This seemed contrary to my understanding. For example, I understood that CD's recorded at 16/44.1 created phase errors which needed to be corrected by very complicated algorithms. What do the vinyl guru's reply?
conscious
Bluefin is a very confused individual when it comes to understanding music reproduciton. We are all free to listen to whatever we like. Seems there are always three sides to every audio story: the analog, the digital and the facts.
Viridian, at the risk of being petty, even a live in the studio broadcast, regardless of how temporary, is a storage medium. Ditto direct to disc recordings. Neither stores sound. Now, music boxes, well, I just don't know.
Hey all .. found this interesting link ....

http://www.st-andrews.ac.uk/~jcgl/Scots_Guide/iandm/part12/page1.html

It blurs the distinction between digital and vinyl in an interesting way