regarding "continue the approach" vs. landing clearance.
In the US, we see this happen and work with it. But, once you are in the vicinity of the approach lights, one does start to demand a landing clearance.
to ATC people, most airlines now demand some sort of written report if a go around is initiated below 1000' AFE. So, if we are going to play the "continue the approach " game, fine...but don't forget about us on short final.