PS1: Analog controls in Gran Turismo 1 and Colin McRae 2 - eviltoast

I have the original Gran Turismo and Colin McRae Rally 2.0 for PS1 on disc, playing on a PS2 slim and PS3. On both, I can steer with the D-pad but not with the analog stick, even though both games advertise analog controls on the box.

The PS3 controller doesn’t have an analog toggle button but the PS2 controller does. Pressing it enables the analog stick but it feels like it’s still digital.

How is this supposed to work?