“I imagine that the rabbonim of these shuls don’t want to speak up because of fear of losing mispallelim to other ships.”
That’s a fast run from Churban sensitivity to joining forces with the causes of it. Perhaps your criticism stems from a natural judgmental tendency along with some rightful sensitivity. Leave other people alone.
If it were a Halachah then you can speak up or be Me’orer. If it is a matter of sensitivity then if you have a position of authority, you are out to help people grow, and you understand that your method will help them, go ahead and give it a shot.