Yup, I still do naturally, though for the past few years, I’ve set aside the money in my budget to get a Depo-Provera shot every few months. That stops my periods, and has taken care of my birth control worries as well.
That said, I don’t personally experience dysphoria from having periods– it’s just worth it to me to avoid the mess. (That, and you don’t see too many tampon disposal boxes in public men’s rooms.)