If your radiator has a fan that's shared by the AC, what you did may have helped. If the fan is mechanical (belt driven) rather than electric, then you don't want to use the AC; you instead want to run the heat. (In that case, the heater core [what sends heat into the cabin] is acting as a second radiator, rejecting heat from the coolant into the cabin.)
If there's only one electric fan, test the fan by turning on the AC. If it runs with the AC, but doesn't run when the car is hot, look into the thermostatic switch for the fan. (I'm not familiar with your particular car, but that is assuming the logic is "if the AC is ON, turn on the fan" and separately "if the coolant is too hot, turn on the fan".)
If the fan is electric, you can also idle the car in your driveway and take note of whether the fan eventually turns on as the car heats up in the driveway. If it does turn on, but just turns on a little late (in your opinion), it's probably OK. If it turns on with the AC but NEVER turns on without the AC regardless of coolant temp, change the thermostatic switch.