I realized that with my PS2 remote, and my PS2->USB adapter, I had a handy dandy little "remote" that I could use with my PC. It only seems to recognize the gamepad ...

Introducing 8BitDo Retro Receiver for PS. Play PS1 and PS2 with your favorite controller. Compatible with Xbox One, Series, and Elite controllers, DualShock4, DualSense, Wii U Pro, Switch Pro ...