He’s living there, shacking up with ‘mommy’ and playing ‘daddy’...get over the ‘word-game’.
It’s not a word game, it’s a moral distinction. Calling these daddy du jours “parents” is an insult to every man who has put in the hours and made sacrifices for his kids.
Hey, if she had thrown him out yesterday, and brought home a new guy on Saturday night, how long would that guy have to live there before he was a “parent?”