That is false for reasons that have nothing to do with analog vs digital.

Analog doesn't allow all the tricks the loudness wars required to win, so often analog really was better than digital. That is garbage in garbage out, and analog got less garbage on the input side. When someone who cares about good music in a perfect listening environment mixes and masters everything to the best of the technology, then digital is better. (but note that perfect listening environment is rare in the real world so good experts are compromising anyway to try to correct for the bad environment people listen in, this can be done well or bad)