Of course my brother. Normie is a designation for people that lead normal lifes. A normal life includes sex. So both a Chad and a betacuck are normies.
The Chads get sex naturally. They approach a female and she has sex with him. And in most of the times nowadays, Chads even get sex "unnaturally", that is: the female approach them seeking sex.
Females seek Betacucks to provide for them, when Chad doesn't want to. That is, she will has sex with the beta. And the beta, in exchange for the cold mechanical sex, will pay for all her needs.
Both of them are normies. Because both of them stay in some kind of relationship that results in sex.
I myself am an escortcel. Once a month I go to some escort and pay to have sex. Does that make me Normie? Of course not!