This conversation has really taken a turn for the bizarre. While we're at it, we need to consider the possibility of the rapture happening, that during the time out suddenly all but four eligible players are taken to heaven. The head coach, without question, would be left behind
From NFHS 6-1-2 NOTE, "Any rules statement is made on the assumption that no infraction is involved unless mentioned or implied. If such infraction occurs, the rule governing it is followed."
Enforce the rules as written, without reading weird, wild, wacky stuff into them. If weird, wild, wacky stuff does happen, then deal with that when it arises.