Also it could establish wearing jackets as more of a policy thing or norm at that particular shul. It’s what you do when you daven.
Who knows why they don’t want to do so?
If someone doesn’t wear a jacket to work, and he may only have a few nice jackets, then putting it to daily use may be a deterrent.
And plus they may in turn end up liking wearing a jacket that they eventually purchase or designate one of their jackets for davening and keep it in their car so that they have it on hand every day.