You may know this already, but I just wanted to list the behaviors of PS1 Racers on a PS2. I ordered it online for 15$, original release, still in package with the manual. On the classic "Fat" PS2 with a PS1 memory card and Dualshock2 remote. Everything is used but in great condition, only evidence it's used is a tiny bit of scratches on some things.
-Won't save with a PS2 memory card (Duh!)
-Joysticks don't work (Duh!)
-Nothing has a loading screen, it just freezes for 10 seconds and moves on.
-The screen display looks better smaller. If it's larger, not only are pixels more noticeable, but It can get very blurry. For some reason this doesn't happen on a PS1.
-Minor issue and It's not very annoying, but controls are SLIGHTLY off sync. As above, only happens on PS2.
Still testing, but I just thought this would be an interesting factor to bring up.