have no idea how this reg thinks he could play that hand OOP profitably in a 4bet pot

4 bet to at least 40.

I would personally make the 4bet marginally bigger, 1-3bb. I see nothing wrong with this sizing though.
People make bad plays all the time, like mind blowingly often.

maybe Idk what I'm saying but the odds you are giving him seem way too good. I think a lot of people will flat AQo AQs KQo KQs or maybe suited pretty stuff (QJs Q10s etc)with that 4bet size and when you have JJ this isn't what you really want to happen

it is possible that he flats AQ, KQ and even more as this case proves . We don't mind that though. If we cbet 1/3 pot on Q-A flop and he jams, I would just fold. If he calls, shut down. We have a super strong range and I doubt he'll turn some hand with no equity into a bluff. By calling pre with KQ, AQ, he's just putting himself in a shitty spot where he hopes to flop and you not to have a dominating hand. Unless he has some solid read that enables him to play profitably oop in 4bet pots with such hands. Although I will just jam AQ as a semibluff oop vs. players that both call often and 4bet wide.

+ Most players won't call KQ, AQ etc.

his 3bet is to 18, my 4bet is to 36 i dunno why it shows it that way
and in general i make my 4bets IP a lot smaller than OOP coz i dont mind them calling and playing postflop and that way i can 4bet a lot more often especially in these kind of spots BTN vs blinds

You realise that preflop he pretty much has odds to call with anything playable right?