What are your thoughts on this?

PokerStars - $6.82+$0.68|1400/2800 Ante 350 NL - Holdem - 9 players
Hand converted by PokerTracker 4

UTG: 46.4 BB (VPIP: 30.30, PFR: 24.24, 3Bet Preflop: 3.85, Hands: 66)
UTG+1: 15.52 BB (VPIP: 0.00, PFR: 0.00, 3Bet Preflop: 0.00, Hands: 10)
MP: 16.86 BB (VPIP: 7.58, PFR: 4.55, 3Bet Preflop: 0.00, Hands: 66)
MP+1: 15.12 BB (VPIP: 16.67, PFR: 13.46, 3Bet Preflop: 4.00, Hands: 54)
MP+2: 27.6 BB (VPIP: 17.19, PFR: 12.50, 3Bet Preflop: 3.03, Hands: 66)
CO: 62.93 BB (VPIP: 10.77, PFR: 7.69, 3Bet Preflop: 2.94, Hands: 66)
BTN: 86.92 BB (VPIP: 31.82, PFR: 21.54, 3Bet Preflop: 10.34, Hands: 66)
SB: 16.62 BB (VPIP: 3.57, PFR: 1.79, 3Bet Preflop: 0.00, Hands: 56)
Hero (BB): 32.04 BB

9 players post ante of 0.13 BB, SB posts SB 0.5 BB, Hero posts BB 1 BB

Pre Flop: (pot: 2.63 BB) Hero has 6 6

fold, fold, fold, fold, fold, fold, BTN raises to 2.19 BB, fold, Hero calls 1.19 BB

Flop: (6 BB, 2 players) J J K
Hero checks, BTN bets 1.53 BB, Hero calls 1.53 BB

Turn: (9.06 BB, 2 players) 7
Hero checks, BTN checks

River: (9.06 BB, 2 players) J
Hero checks, BTN bets 6.26 BB,

Yeah I don't see V betting here with air. I think V checks back A high maybe thinking there's some SDV, I think it's a thin bluff catcher.

Edit: just saw the results, not surprised he gave you flak for making the call

wp, his line made zero sense, you should flame him back

im actually think V is Ace high and thinks thats good since we are checking every street, maybe this is a leak of mine but IF i call OTF IM leading OTT

There just isnt much the villan can have here

granted you arent ever folding Kx but Jx is discounted and severely OTR, but I think im stabbing OTT and then shutting down if I get called here. Hoping i can buy the river with a turn bet

I just dont think air continues after you call OTF and lead OTT

Villain is on the btn so he should be pretty wide. If he was in an earlier position then id consider folding river.

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