Are there any problems with wearing a wetsuit in a pool to cover up scarring?

I love swimming but I don't want to show some scars in public. Is it allowed to wear a wetsuit in a normal pool? Are there any problems with this (like, does chlorine damage the suit?). I've never tried this, just wondering.

Something plain like this:
Are there any problems with wearing a wetsuit in a pool to cover up scarring?
Are there any problems with wearing a wetsuit in a pool to cover up scarring?
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