It seems that you said it rather well.
Of course, the idea is not only to not disturb YOU (sorry, no italics) from tefilla, but not to speak in a shul because it’s a lack of yiras Shomayim, etc. (Plus it disturbs EVERYONE.) I’m not saying it should have been said like this, but at least in retrospect we should realize this.
I know that the story happened during Ma’ariv, but a point to note: Rav Pincus zt”l in She’arim B’Tefila writes of the extreme importance of chazoras hasha”tz. I most certainly have to work on my appreciation and concentration, etc. – but to talk during chazoras hasha”tz?! You (not you the blogger, but you the talker) can’t wait five minutes at least? Again, not something you can necessarily say, but the idea is there.