Belichick doesn't give a flying f about Gordon's screw ups in Cleveland because they happened in Cleveland. It's when the screw ups start happening in New England that he cares about.
Alan Branch got busted for a DUI, released by the Bills and Bill signed him weeks later, Pats won a SB that year and Bill re-signed him to a 2 year deal.
Corey Coleman complained his way out of Cleveland (it was even documented on film) and Belichick signed him weeks later
Duron Harmon got busted trying to bring weed into another country, granted the league didn't punish him nor did he get in legal trouble but that's something that could easily get you cut
I use these examples because they are similair circumstances to Gordon.