You can feed the Amiga-RGB into the P2, but those signals are just switched to the monitor unaltered unless a CGX/P96 screen is active.
So if your monitor can't display a mode while connected to the 23pin RGB it won't be able when passed through the Picasso2.
Only the Picasso4 and CyberVision-64-3D have a Flickerfixer/Scandoubler builtin (actually it's optional with the CyberVision).