Haven't tried this yet, but would like some opinions before I put someone in a hard spot.
Let's suppose you're talking to someone you're not very close to and you say something about yourself that might be sensitive and they thought was curious, how would you feel if you were asked "Would it be okay for me to ask more about that or would you like to talk about something else?"
I've met some people who had an absurdly hard time saying "no thanks" "not right now" "I'm not comfortable with that" etc and have been trying to figure out how to navigate that. In my country the common sense is to ignore and move on.