If I go to an Atlanta Braves game, and see everybody wearing the logo gear, I do not immediately think that they play for the Braves or once played for the Braves.
When I go to a group swim, group ride, or race, and somebody has the IM logo on their car, I do assume that they have gone the distance in an IM branded race.
If they have a 70.3 sticker on the car, then I assume they did a 70.3 branded race.
If they did a non-branded IM or 70.3 race, then they can display the logo of the race, but shouldn’t pretend they did an IM branded race because they didn’t.
In the end we all wear logo gear in order to be recognized as one of the group, in order to show our pride, based on our ego, to remind us of an accomplishment, or in support of somebody else.
If I saw somebody with an IM sticker on their car show up to a group swim, then I might ask them if they did IM, or which one. If they said they didn’t do one, but their spouse did, then OK. Or if they were training for one and wanted inspiration, then OK. If they said they didn’t do races at all, but thought the logo was cool, then OK. In the end, the logo means something very personal to the person with the logo, and 99% of the rest of the world could care less about what logos you wear or promote.
FWIW, I have IM logos on my car and my wife’s truck. Those logos mean a lot to me because I put a lot into those events. But if I ever stopped doing IM races, then the logos would loose some of their luster to me, and I’d probably take them off. The same has happened before as I’ve moved from one city to the next. Keeping that old NFL town logo wasn’t really important to me in the new city. Wearing that shirt with the logo from my last job isn’t important anymore. The only logo I wear and have on my car that will never leave me is the cross which signifies my faith, and that will never change. I can’t say the same for the other logos, however.
In the end, logos are very personal. You can make assumptions based on the context of where the logo is placed or where you see it. But it doesn’t really matter what others think of the logo as long as it means something to you.