Thanks to Russ's help, I was able to identify my problem. Instead of sourcing a '95 power window switch and then having to use the notoriously bad '95 amp, I made my own harness/wiring for the '96+ switch.
These were the smallest female spade terminals I could find that would accept a 14ga wire, and they ended up working out fine.
I ran 1/8" heat shrink over the crimp and all the way down to the bottom of the connector, just to be safe:
Ended up using 6 wires - +12V (25A fused) DC, ground (both red 14ga), and two wires for each of the window motors (black 16GA). It's a tight fit in there.
Because I don't have a passenger side switch, I looped the 6 pin passenger side connector pins coming from the drivers side, going to the motor (no pic). Also retained the rest of the door harness (for power windows and door locks).