When does designated bench personnel become the HC following DQ of the HC?

[HokiePaul]

Your assumption in the OP seems to be that after the HC is disqualified, there is a new "HC". Instead, I've been taught to think of it as "designating" a coach for the purpose of requesting timeouts, communicating with officials, etc. But this is still an AC. Assistant coaches don't get indirects.

Anyone have different understanding of this? With this approach, using rule 2-3 isn't necessary. Penalize as you would any other situation minus any indirect technical to the HC who is already gone.