I think we can all agree that true sincerity would not have been considered an “interruption” much like crying at a funeral would not be shusshed.
Its just that so many of us have seen “showmanship” (or as Wolf said one up-manship) that we can’t always tell who’s for real and who’s playing the game.
All things being equal, I think I’d rather be “bothered” by someone davening too loud than someone’s cellphone carnival-like ring going off for the 3rd time in one tefillah (yes, I’ve seen that..and they looked surprised when it rings. Duh.)