I've been kitting out my panel with some Ultrastiks and was having trouble with one. In the USB controllers control panel, it shows as a 32 button controller with no analog plot.
I went to Device Manager and started manually uninstalling the listed HID game devices. I didn't know which was which, do I just nuked them all. Once I unplugged and replugged the joysticks, they all worked fine, including the one with 32 buttons.
I started typing this to ask for help, but I eventually figured it out. Leaving this here for anyone else who might benefit from my experience.
Cheers!