Old Lurker , you said :
Yes, in first world. I don't know Martinique. Is it the sort of murky place where a Big Man (political, military, airline, whatever) can shout "stop that plane!" – even for a frivolous reason such as, maybe, something left behind – and be obeyed without question down a hierarchy of frightened officials and up to the man in the tower, who can see that the aircraft is rolling and has a split second to decide whether to defy the Big Man's order at some risk to himself, or effectively to pass the buck to the pilots? So he calls "Stop" and the pilots stop. Whatever the outcome, the controller did what he was ordered to do and he won't be in trouble with the Big Man. Is that a plausible scenario?
Quick answer : No , absolutely not. Martinique is a French Department, so part of France DNSA, same controllers as you will find in CDG or ORY ( often coming from there for a few years)