Really, I think it's baloney. What you download will be as good as it was ripped at. It isn't inherently bad because it's a download (potentially illegal), and to get GOOD audio out of an LP, you often have to spend a good bit of cash on a decent analog decoding device (record player), and be extremely careful of the overly fragile disc - that you can't take anywhere.
But, to turn the mysticism of the LP into a claim of actual quality is, by far, the more bogus statement. The LP is as good as the LP is, and the better the gear is that plays it back, the better the sound - and every time it is played back, it will sound a bit different and the LP will be wearing out.
Even with the worst mp3 files, at some point, the LP will actually sound worse than the mp3 counterpart which will play for all eternity with the same quality as the day it was originally made.
Then we get CD audio and HD audio formats.
Don't confuse 'lossless' CD audio with HD audio which offers far more range than even CDs deliver. Anything digital will have some bit of loss, but 99.99% of the world wouldn't notice.