The two mediums certainly sound a little different, but there's only a few of my LPs that sound noticeably better, and those, I always play the LP.
I found that a musical DAC and a good, tube preamp, make CDs sound very, very good. In fact, I have a Mozart CD with sir Neville Marriner conducting, featuring Anne-Sophie Mutter on violin. It's produced in DDD and it sounds wonderful.
However I would love to hear an LP of the same performance to hear if there's and appreciable difference/improvement.
And the poorly recorded/produced LPs sound just as bad as the poorly done CDs, IMO.
Dave