I think it depends if you got the scar as a result of doing something you "chose".

The scar came from doing an activity you love, that you know going into it comes with risks. The scar tells a story in a subject area you don't mind discussing.

When the scar comes from something you did not really want to chose, then maybe peeps don't want it to show.

I have some surgery scars related to something that happened to my body that I certainly would have not chose to have happen. That, I would rather have covered. It's a painful memory in more ways than one... I don't want to re-hash it (by looking at it, or people asking how I got the scar).

So, in your case... nope, I don't think it's weird to want it stay.