I was just watching airline on A&E (its an old episode) but they were talking about an WN jet that had its radar go down. So they were changing the radar cone (sorry brain fart can't remember what its called) at the gate, yet they continued to board the aircraft.
I know it makes to some degree to continue boarding that way if they get the issue resolved the plane could push back quickly. However if they can't get the problem fixed then all of the passengers and their carry-on has to be removed and moved to another aircraft.
So which makes sense.. Continue boarding the aircraft while the problem is fixed or keep everyone at the gate until the problem is fixed. I think the second option is the wiser but of course that is my