It is a scenario that you can refuse if you want to, but if you want to know my true concerns, same concerns I shared with someone else who considered running is that while I don't have direct connections to the current international community, I do know that there's one thing that gets their attention: name recognition.
It was the entire reason I supported and still support Potter, but your words made me consider whether I should try despite the fact that it's been a while since the Black family has had any importance, but we do have connection across Europe.
On the other hand, there is one person that I think might solve our Potter problem and your objection and that's not you or me, but Albus Dumbledore.
So your causal attitude will not serve you internally and you can remedy this. There's nothing you can do with your name.