If tyhe Enterprise had changed course, the Boseman would have emerge, hit nothing, and found themselves in the future.
The Boseman "looped" exactly as many times as the Enterprise did. When the Enterprise exploded and reset (how many hours?) the Boseman still being in the area of the explosion also reset the same time period.
I did the math years ago, given the main shuttle bay door size, the general size of the flight deck and assuming the bay was initially at sea level pressure, there would have been enough thrust from the escaping air (combined with the tractor beam) to push the Enterprise out of the immediate path of the Boseman, it was
a glancing blow.
Move the Enterprise as fast as seen on screen? That's a different question, but that could have been a matter of camera perspective.