Earlier quoted context omitted.
Is the classical you all listen to all "top 40" "oldies" from folks like Bach and Beethoven or do you listen to anything reasonably new? I'm talking 20th or 21st century classical. Say John Adams or Kaija Saariaho, maybe? That's the classical music that I enjoy that my mom can't stand. And that is the difference this is talking about.
"I'm talking 20th or 21st century classical" I can't consider anything so recent to be "classical" -- it might imitate the style of older music, but to call that 'classical' makes the word basically meaningless, or that it's only a style (however that would be defined). To me, 'classical' means that it has survived and thrived across _many_ years.
I believe that would normally be referred to as a classic.