I seem to have hit a few nerves with my comment.
In terms of pure sonics, the statement makes little sense these days. Even at the time I learnt the mantra (not that I obeyed it in the strict manner set out in the UK mags and by the Linn dealers of the time) it was on the way out, and the combination of cheap CD and the response from those who stayed in entry level turntable manufacturing in the lean period did it in completely. The last vestiges are still there for this, the few really bad digital front ends tested here are still to be avoided in my opinion (and I was painfully aware in the first years of the vinyl renaissance that far too many new entrants didn't have a clue about turntable setup or what's important, though the starters I know learnt quickly). The source still determines the information that the system presents, you can't get it back: but choosing a good sounding digital front end is, well, trivial.
Having said that, the source is also still important in other ways. It's the only place where you interact (I hope!) on a daily basis with the system and the music, once the system is set up. (Of course a lot of you are hobbyists and tinkerers - I dislike that part of the business though, one decent system is quite enough for years of listening for me). For some this is the ritual of LP cleaning and playing: for me it's about easily finding a choice of music: but it has to be right in that way as well. If the front end puts you off you'll listen less - and you may blame "the sound".
I know of someone who fussed around with tubes and vinyl for years, and was always looking for different speakers and blaming them for everything. Last year he set up a second digital system of the "Hey Alexa" type just for background listening when he got home from work, as it were: I don't think the main system even got turned on after that. We have plenty in the "why does vinyl sound so much better than digital?" thread for whom the opposite has been the case.
I don't believe, at the end of the day, in the absolute quest for the "best sound". I believe if you play music and are moved, entertained, informed or whatever by it, on you system, day in and day out, that's the real point.