50 HU, Pokerjuice analysis, just senseless aggression ?!

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50 HU, Pokerjuice analysis, just senseless aggression ?!

Blinds: $0.25/$0.50 (2 Players) BB: $53.50 (Hero)
SB: $120.75
Preflop ($0.75) Hero is BB with 6 9 8 7
Hero raises to $1.50, SB raises to $3.00, Hero raises to $9.00, SB calls $6.00
Villian was not a good player and did those things all the time, with a range of approx 20%

This is my first 4 bet, if he thinks about it at all, he will most likely put me on AAxx or good Kings or broadway rundown i suppose.
Flop ($18.00) Q Q 6
SB checks, Hero bets $9.00, SB calls $9.00
Given my perceived v strong range i don't think he will call any pairs here since he just is so often crushed to 2 outs.

I gave him a range of any Q andy flush draw and 66. I assumed he check calls all of them.. just to make it worse for me on the turn.

The above mentioned range is about 45% of his pre flop range, which makes my half pot pet hugely profitable.
Turn ($36.00) Q Q 6 8
SB checks, Hero bets $35.50 and is all in, SB calls $35.50
On the turn, i assumed he never folds any Q and obviously not 66, also i assumed he calls every hand that has atleast 2 fd in it.

That adds up to 56% of his flop range, Since i need 50% folds, it is not profitable from that pov, but since i have on average 19% equity vs that range, It seems that is profitable.
Final Pot BB lost and shows two pair, Queens and Eights.
SB wins and shows three of a kind, Queens.
SB wins $106.50
Rake is $0.50

I calculated the above numbers and wondered myself, if such a play can really ever be profitable(good) i would love to get some input

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