I mean if you're going with the reading that the verbal component is excluded then you might as well do the same for the somatic, so they don't even need to repeat the physical motion (whatever it was) either.

Personally though, I think componentless Hexing is intended to be a specific benefit of the new GOOlock so I would want some indication of an active Hex being reassigned. And yes, I know it'd be a houserule.