Perhaps I would feel differently had I not grown up surrounded by folks who had numbers tattooed on their arms.
I spent 25 years in Israel... me and my tattoos... and I had no lack of opportunities to be asked -- always politely -- "Why did you do that to yourself?"
My response? "This is what happens when you don't receive a Jewish education."
I never met an Israeli -- Holocaust-survivor, native-born, or immigrant, male or female, young or old -- who wasn't able to understand and/or accept my explanation.