No, you point his logical problem and leave it at that.
Maybe that simple fact is one thing that caused him to complain about welfare people in the first place. Did you ever stop and think about that for a moment? Just because he lives in AK, and AK has a lot of people on welfare, does NOT mean he is on welfare! You're making illogical assumptions, jumping to conclusions, and ready to beat the guy over the head with your "idiot" rhetoric while having a very good chance of being totally wrong about him. Nice going 🙄
You complain about people being steeped in logical fallacy while you yourself are stuck in it just as badly.