I had trouble with my '01 when turning on the A/C - RPMs would drop. It happened when turning on the headlights and HVAC fan too. Turned out to be the IACV (idle air control valve). It was two minutes to swap out on mine.
The extra electrical load from these components requires the alternator to increase the output from its normal operation. This means extra load on the motor which requires extra fuel. The IACV senses this extra load and tells the ECU to add more fuel which keeps the idle normal.
I have no idea how the '93 works but I'd guess it is similar. The IACV is a somewhat common replacement item on many fuel injected vehicles.
Sometimes the IACV is also called a Stepper Motor.
If you unplug the electrical connector from an IACV and start the car the idle should be very high (like 1500-2000 rpm). As you turn on things like A/C, fans, rear defroster, and headlights you'll see the idle come down. The amount of fuel going to the motor is actually the same but the added load from the alternator is dragging the motor down and it now has no way to compensate for it. The high idle that occurs from unplugging it can be a benefit if your IACV breaks because it can help get you home without the engine bogging down.
Actually the IAC valve does not sense anything - the ECU has inputs wired to the electrical circuits and knows what additional loads are present through those inputs and then instructs the IAC to allow more air to compensate for the additional load, the ECU also adds fuel as required based on the feedback from the O2 sensor.
Some IAC valves are stepper motor controlled - as in an '01, others are not, as in the OP's '93
On an 01, the ECU controls the a/c and idle up is handled through the IAC - however I believe the 93 is different - as far as I know there is a separate AC amplifier and there is no direct connection to the ECU - unfortunately I do not have the a/c diagrams for the vehicle to hand, and so cannot be 100% certain, but I believe the a/c idle up is handled by a separate VSV air bleed - I will try to track down the necessary drawings and let you know.
Edit
I found A/C drawings for a 91 & 95 - both of them have a direct connection between the a/c amplifier and the ECU, presumably the 93 does also