Component appears to be the only option (with the likely negative you cant play PS1 games due to unsupported resolution, but I have a PS3 for that), and I doubt I will ever notice a difference between SCART and Component anyway.
PS3 backwards compatibility is a no go, the ones that do play them are probably on their last legs thanks to YLOD. Emulation via PC, no idea where this is at if im honest, always assumed it was still not quite there.
I thought any PS3 would play PS1 games - the PS3 should upscale the PS1 game output too whereas the PS2 when playing PS1 games won't so you'd have the same issue with most modern TVs when trying to play a PS1 game over component via a PS2.