I don't own a P4 but it sounds strange that brakes work one minute then fail. Roadie brakes are very simple devices. Brakes either work or they don't. It's just a simple mechanical device.
The other contributing factors are that something has come loose, cable stretch, too much heat or pad wear.
If problems are cable stretch or something loose then that is an installation issue (not tightening bolts or not properly pre-stretching the cables).
If it is not the above, the excessive heat can lead to fast pad wear. If the area is covered up, no air could be flowing past the brakes/pads/rim surface. Could the heat be too much because the area is shielded from the cooling wind? I don't know but thought I'd throw it out there for comment.
Forgot one last possible thing, the flex on the brake mount/surface as a result of heat transfering from the pads to the brakes to the brake mount?
It shouldn't be that difficult to work out the cause of the problem. For the price you pay for the P4 I'd want to make sure that everything is perfect. I get grumpy if my setup is not perfect on any of my bikes.