The video proves what I suspected happened. The ball (and thus, the officials) were about as far from the team area as is possible to be. The coach was simply too late in getting his request made. As late in the pre-snap portion of the play as he wanted to make his request, the crew is focused on their pre-snap duties. (Looking 25 yards back down the sideline for a coach possibly wanting to request a T/O is not part of those duties.).
Players are still allowed to request a T/O. (I still think they should be the only ones allowed to request a T/O, but that's another story.). If the defensive mis-match was so bad, why didn't his players recognize it, and make the T/O request themselves, or at least look to their sideline for direction? If the request is made, even a millisecond before the snap is made, the request will be granted. If the ball gets 'apparently' snapped, and a play 'apparently' run, it simply will be discounted, the time will be restored, and the T/O given.
If requesting a T/O was restricted to coaches, allowing replay to get involved in such situations in the "red" zone might be a legitimate consideration. But that is not the case, and the rules and procedures are equal, and enforced equally, for all teams, despite any biased perceptions to the contrary.
In the case presented, that was just tough luck. He simply needed to act more quickly. I worked games with this coach. He is one of the most level-headed coaches that I ever came across. I do not believe for a second that he would want a rule change for these situations.
A rule change is not needed, and we damned sure don't need to get lawyers involved.
Robert