The NFHS term is continuous motion per rule 4-11. It is useful to use this terminology to distinguish from continuation as applied in the NBA. As other posters noted continuous motion begins with the habitual movement to start a try. It ends when the ball is in flight.

If you think the closest official should make the call, then your concerns over coverage responsibilities are at the expense of your players. Officials ref, you coach.
My guess is you just didnt like the call, whoever would have called it. Your "distance" complaint is the same as the one many have heard before.."Thats not your call" which is a weak complaint from a coach.

As an baseball official, you should (and probably do) know better.

I disagree, when one official appears to pass on a call and his partner whistles it from 50 feet away it's going to raise some questions. It could mean the calling official is ball-watching (bad), or it could simply be a play where the L knew the T had a bad angle (good).

Without being there, none of us really know; although we'll tend to give the benefit of the doubt to the officials on the game.

I will agree that if the only complaint the coach has is "that wasn't your call," it's just as credible as "that was a late call." Both complaints are over form rather than substance.