Sometimes there is slight confusion when one talks of 'full autos to the deck'. Do they mean "with engines running" or a proper engines off situation?
I'll assume you mean (in this instance) a power on recovery to the deck. In this case, NO we in the emergency services only do them to the hover with engines running. We do occasionally run it on, but never with engines OFF.
Might be something to do with the 'frange' clipping the ground?