Yes, that is true. The fan should come on with the A/C.
Sorry its been so long since I updated this thread, but I have some good news! I brought my cav to a friend (who is EPA MVAC certified), and he tested my AC system. He plugged in some test equipment and found that there was no refrigerant/pressure in the system, which of course indicates theres a leak. BUT! He filled the system with nitrogen to see if we could hear it pissing out the nitro to pinpoint the leak. He put in 125psi, and after an hour of sitting in the system, the needle didnt appear to drop even 1psi! He said that since the car is as old as it is, it an 8/10 bet that the leak is incredibly small, and that its located at the condenser. WHICH needs to be replaced ANYWAYS because it's not currently working. I'll hit the AC button in the car and the clutch on the condenser doesn't engage. SO, if I replace the condenser, he said its an 80% chance that I'll kill two birds with one stone. A new condenser that will work with the r134 conversion, AND no more leaks! I'm on his calendar for the 6th of august to check on the pressure and how much nitrogen has leaked out. I'm going to work on acquiring a new condenser, and him and I will get to work on it some time in august or September.
(Edit) And as far as the radiator fan is concerned, he said that the connector and relay should be replaced. He said that the connector looked fried, and even if all the black gunk was put there by General Motors to keep moisture out of the connections, it wasn't doing the circuit any favors. So I'm going to get a new relay and connector and see what that'll do for me!