I'm find with the PS3 not having backwards compatibility, but at the same time I do understand it as a problem.
Right now, I have a PS1, PS3, Wii, NES, SNES, and Dreamcast hooked up to my TV. If my PS3 were to break, then I want to put my PS2 back up there, which I would not have enough space for.
Also, backwards compatibility started with the Atari 7200. All 7200 models could play 2600 games. The entire Gameboy line is backwards compatible with the GameBoy Advance systems. Backwards compatibility isn't something new.
Eventually older consoles have a tendency to stop working. While my launch PS2 still works, I have to do a lot of maintenance on it to keep it working. I'd rather just play PS2 games on my PS3 because I don't have to crack it open and adjust things before I can use it.