Indirect on head coach or not?

[Fifth And Goal]

Had this sitch first few weeks of the season. JV boys game, and my partner and I have already spoken to both head coaches about having subs wait at the X until one of us beckons them into the game.

I have a shooting foul at lead and go to report the foul, and I notice a sub at the table. After I report the foul, the timer blows the horn and the sub comes running all the way down to the lane, even though no one has beckoned him and we still have yet to shoot a FT. So, I whistle the overanxious player for a T under the provisions of 10-2.

My question is, does the head coach also get an indirect under the provisions of 10-2? Not clear in the rules or in the T chart at the end of rule 10. Seems to me that the player is still bench personel until somebody beckons him into the game.

Any definitive guidance out there?

Peace,
Fifth