“Do you mind?” is a phrase that should be removed from everyday usage I’ve decided. It’s because the response to the question and the resulting action do not match which almost always requires clarification.
Do you mind picking up some milk from the shop?
So you’ll get it?
No, I have other things to do.
Can we just agree that it’s ambiguous and there’s always a better way to ask the question?
Can you pick up some milk from the shop?
OK, I’ll get it myself.