Either way, the exhaust moves away from the spacecraft. It would be pretty funny exhaust if it just sat there inside the engine bell.
Putting aside frames and compound vectors aside for the moment, how exactly would one run into the exhaust? For it to make it back to the spacecraft after being blasted out of the engine, it would have to, ITSELF, slow down in space.
(More, it would have to slow to a complete stop relative to the spacecraft then accelerate back towards it. Now unless the J-2 was somehow capable of throwing a gaseous curveball, I simply don't see how this could happen).