Not that I would want to break into this thread too late but,
from the discussions so far it appears the loss of power through the wire harness is being forgotten. IR losses in DC circuits this size must be enormus. Any one brave enough to take a voltage reading at the load end of the wires. If attempted leave your wallet with your credit cards in the car.
Don't ask how I know this.
As for duty cycle, the magnet is off for the majority of the time. When engaged, I'm betting the wires are the hottest this in the whole rig.
My 2 cents
Jim Vrzal Holiday,Fla.