Having talked to many, many, many self-proclaimed centrists. A lot of them are either left- or right-wing moderates who don't want to claim a camp. Primarily because both sides are so polarized these days.
Did you know Elon Musk considers himself center left? Some people think he's a right wing nutjob. Plenty of right wingers think he's a leftist still.
A lot of the "centrists" that I know are economically right and socially left. Like the old joke, "I can't be a Democrat because I want to spend my own money. I can't be a Republican because of what I want to spend my money on!"
Did you know Elon Musk considers himself center left? Some people think he's a right wing nutjob. Plenty of right wingers think he's a leftist still.