But what if the coach was the HC?
Well, if the HC and owner are the same (this is not necessarily the case in all programs, they are just the head of the optional program or head of the competitive program, but might have a boss) then you don't have much recourse, except to address it directly with them. In that case you have to tell them your concerns and then see if they decide to improve in this respect (but probably - in this case, based on the behavior - it seems unlikely). I know in my case the egomania was so strong that "suggestions" were pointless. They just created more drama and divisions and targets.
And then you have to evaluate the situation and decide if it's healthy, and if there is no recourse and it is not healthy then you have to either find another gym or leave gymnastics.