For what it's worth, the answer "Who cares" is I do. Personally, I don't want to be the jerk who can't be bothered to remember names, so I choose to care.

Having said that, as long as you're not a jerk about it, which I don't think you are, I think it's personally fine to admit you've forgotten my name and ask, I'm not that memorable! :)

I think this just shows the value differences we each have from our upbringing and mentors, so it's very interesting.