That's the way the F car system works and Greg and I were at one time trying to perfect this hot wire job. Maybe he'll chime in. I forgot where we were with his (he runs the 2002 Camaro PCM that works more like what you're talking about).
As far as the 2004 PCM, it's not voltage but an actual Class2 message from the HVAC to the PCM requesting AC meaning you'll have to use the 2004 AC control to make it work like stock.