Correct. ASIO is ASIO, whether through foobar2k or winamp. That's it. Foobar doesn't sound better than winamp - it just DOESN'T. That's what the foobar writer is trying to say: the media player does not affect the sound in any way unless its defective.
Codecs follow standards- either they decode the file properly, or they do not. It's the SAME decoding algorithm for MP3 regardless of the program.
Although I very much doubt Lilith has any higher sound quality than a properly configured Foobar or Winamp setup, this is because both of those setups would be at the limits of audible quality in terms of MP3 playback.