So I've seen a number of answers/questions pointing out that massive objects which aren't black holes don't emit Hawking radiation. This certainly seems right for the steady state case with a time invariant gravitational field.
However, what happens as a star starts collapsing into a black-hold before any actual event horizon is realized? Does the changing gravitational field somehow create a net flow of radiation out of the collapsing region?
Or to put the point differently is gravitational collapse (whether or not into a blackhole) slowed ever so slightly by a Hawking radiation style effect?