Yeah. I've (unfortunately) been in the US for the last few years. I'm at an university though, so most of my American peers come from a fairy rich (and mostly white) background. None of them have ever been arrested.

White male who grew up in Idaho here.

I have been arrested on several occasions and so have a number of my friends.

I would not consider myself poor or lower class either. Id assume your theory holds some weight, but I'd also assume it follows a lot of trends we wouldn't expect as well.