When did bandages ever meant literal handicap?
Chopper bandaged Sanji for no reason after he ate Doflamingo's "Goshikito", even if he was completely fine after that
If King has bandages it just shows that King and Queen were at fully control of Udon and they got treated by their own subbordinates, and not imprisioned, like some Buggy wannabes are implying. On top of that, a week has passed