Thinking over it, it means absolutely nothing to me.
Possibly because I've never actually owned a backwards compatible console and games for the system it's backwards compatible with before, so maybe the concept is a bit foreign to me. The only backwards compatible consoles I own are the PS2 and the Wii, when I never owned a PSOne or Gamecube.
Going from PS3 to PS4 though I just really could not care less if the PS4 is backwards compatible or not. Why should I care if the PS4 plays PS3 games? I don't want that, I want a PS4 that plays PS4 games. And if they can cut the price a little by not having compatibility with PS3 games then how is that an issue?