To me, your 3060 mobile should do the trick natively with PS2.
I ran it on GoW on a i7 4th gen + T600. issue with fix but the game seems to ran smoothly. Also with katamari damacy, it was ok.
So there is maybe something to dig regarding the mobile video card… Sometimes it’s not enabled by default (so this is your APU working) and you may need to force it. It the boot.config I assume @Atari ?
Share a screenshot of your device information within batocera to verify the GPU is detected.