Also not an expert, I wonder if there's some rule where a "Go around!" order has precedence over any other activity anyone in the cockpit wishes to perform.
As a passenger I had my first go around a few days ago, but we were 5km away from the runway.
(I fix airplanes, have been in aviation for 15 years)
Yes, it does. I can't speak universally but I would generally expect it to be a written rule, if not then at least it's the expectation.