That's weird that it would be a momentary pulse on any device. Usually 12 volt triggers are constant on to let a device know that they should be, and REMAIN on. When 12 volts is removed, the device IMMEDIATELY turns off.
12 volts, at a very, VERY low power rating. It is not designed to power external devices, but to trigger low voltage relays that turn external low voltage devices on and off.
If you want to power an external device with more fans, then get a fan that uses an external power supply and can be triggered using the 12 volts coming out of your receiver. It sounds a little rougher to get to the final point you want to, but it keeps your cooling system on a separate power supply, as it should be, from your A/V receiver.