To T or not to T; that is the question?

[Gutierrez7]

Scenario:
- Varsity Boys
- Team A is the visiting team
- First half
- Score tied

Team A scores a basket and proceeds to run back and play normal defense in their backcourt. Player B1 has legally received the ball in bounds and proceeds to dribble casually up the court in his backcourt (near the foul line). The New Trail official is located just in front of the end line (table side) and administering the 10 second count as Team B is bringing up the ball.

During such time, Coach A, acting as if there was a time out (NO time out was called or granted), runs onto the court and stops around the top of the key (elbow, table side) and demonstrates mild excitement from the made basket. The New Lead official is approaching/approached the end line (opposite table) and witnesses Coach A’s actions. Coach A realizes NO time out was called and immediately leaves the court, in an embarrassed behavior. The New Trail official also witnesses Coach A’s actions.

Question:
Do you give a technical foul to Coach A?

If you answer YES; what possible reasons/rules would you site; which official(s) should signal for the foul, Lead, Trail or Both?
Side note: what if the New Lead does not signal? Does that change your answer?

If you answer NO; what possible reasons/rules would you site? I.e. didn’t get a good look, to far away to make the call, coach didn’t touch any players, etc…

Your professional input is appreciated as always.