Thoughts on Technical Foul

[JugglingReferee]

If a coach, while on offense, alerts me to an injured opponent (whether known or unknown by the officials), my interpretation immediately becomes that they are giving up their offensive drive and I can't see not killing the play immediately.

No, I would not call a team timeout in the situation as you described. I would go with an official's timeout.

Note that an official doesn't have to "tell the perpetrator" about a foul call. Any voicing of a foul is done in a general sense to anyone that is interested. The only official direct conversation is directed to the scorekeeper. However, any dead ball T I call will likely have a whistle from me with a clear voice reporting the foul. IOW, the coach will surely know that he was T'd up.

I would not T a coach up for saying that something is "really bad officiating". Now, if he was a case of ABS, I most definitely would consider it.