I want people to not wish me on Mother's Day because I don't think it's relevant to me much. My husband and I honestly contribute almost equally to the child-rearing and our roles are not that different for us to require separate days or a day at all. I did carry a bigger load (literally) being pregnant and in the months I breastfed but I made sure I was compensated for that (and I mean in quantifiable terms) so I don't really feel like I deserve a special mention as a mother on a particular day.
It's weird, I don't identify with this day at all. I do wish my mom on Mother's Day though since I know it's important to her, plus she pretty much shouldered the entire burden of raising us.