By connecting the two ships with a tractor beam, did they allow for the Enterprise to experience the same repeating time loop that the Bozeman was caught in - and in the final "run-through" when they make it out, would they have died if they hadn't been successful, since they weren't connected by tractor beam?
But why should the Bozeman
be in a time loop? We never got any indication that this ship would have been re-experiencing any events. All she ever did was emerge from the past to the late 24th century, at an unfortunate moment when there was a time-looping starship there right in front of them. The Bozeman
would really only need to do that once.
Cool idea anyway!