Just conferred with Benji again. I was slightly off with my reasoning. In theory, one could invoke 16.2 (if the call is very late), as 16.2 refers to the time of the call, not the violation. But the more specific 10.6 trumps the less specific 16.2, so no turn.
The reason to write 10.6 was in line with my original argument: violations during a stoppage should never influence play.
Btw, in the old discussion there was a mistake: it was argued that you can call a violation of 10.2 on your own team, but that is untrue. Violations can only be called on the opponent.