ok, no one liked my riddle.
Answer: At 60, the air pressure at the base of the windshield is pos 0.9 inches water, enough to pressurize the cabin perceptibly when the vent is open. If there is an avenue to the motor (black seal removed for example), air goes in, not out.
To lend perspective to power: a 20 psi turbo creates 550 inches of water pressure, that's a 0.2% improvement to turbine output if you can capture .9" for intake. If in the process of ducting the new cold air source, you create 10" of head loss (easy to do), then you are going backwards.
Clearly the TD doesn't really benefit, except from cooler air supply.