It's definitely a case by case basis, for me. In the case of my most recent issue, wherein an adoptable I purchased was traced, I'm definitely looking to get the character redesigned completely and will be abandoning the art, as it wasn't original in the first place.
Others though, if I paid for it and it doesn't hurt me to look at, or upset me, then I'll keep it up on their profile, so long as it's still relevant.