If the paint on the hood of a car has been been measured at around 165deg F in the sun and the car is driven in say, Arizona, and the combined heat from the engine and the sun raises it higher, perhaps even close to 200deg F, I am pretty sure you will be ok using your heated pressure washer.
How close to 200deg F is the water coming out of the tip anyway? At what pressure ? By the time it goes through the air and hits the vehicle with that wide tip (which is all I ever use for my pressure washer), it cant be even 200deg F anyway..
The same paintwork with even less coats in the engine compartment is subjected to even higher temps from the engine, and the exhaust manifolds, some cats, etc., and it seems to make it through that too..
Heated anything will always clean better than cool anything..
As always, you would want to perhaps from a distance wet the car down to get it warmed up if its really cold out, and then have at it..
Good luck !
Dan F