It's a good way to punish opponents who bet turns too frequently when you give up the lead. If you have Holdem Manager or Pokertracker I'd just run a filter seeing how you're doing when you check raise in these kinds of spots. You might be getting more folds than you're remembering.

I would 3b bigger pre when OOP but apart from that i dont hate betting turn or x/r

I agree with both of the above comments. If you are having doubts about these types of spots, it would definitely be worth taking a look at all of your turn check raise spots, and see what your range and results look like.

I'm also curious about the flop sizing here (slightly less than 1/3 pot). Are you betting this size with all your hands (would you bet this size with QQ) on a somewhat draw-heavy flop? It's possible that you are betting smaller on the flop with your drawing hands? Just something to look out for.

Just a question since we are in 3BP - if instead of J there was a K on the flop, how should this affect our xshove decision? Should we even take xshove line on a Kxx considering the Ks in BU range? Im guessing we have more fold equity (over cards) on a Jxx texture

hmmm...I am definitely no expert when it comes to a close range analysis like that (perhaps others can weigh in)...

But I definitely don't think we should assume much more K's in our opponent's range vs J's in this spot. For a button open calling a (slightly) less than 3x 3Bet from the SB, my assumption is that any differnece between Kxs and Jxs would be pretty negligible.

In fact, if I had to guess, I would think there'd be slightly MORE Jx in his range...Simply because most KK and a decent amount of AK will 4Bet. And it may even be possible that hands like KTo or K9o will fold, but JTo and J9o may call (definitely not sure about that part).

But in short: I doubt he has much more Kx vs Jx, if at all, and it is possible he has more Jx, imo.

Good point sir, my assumption above was that BU in this spot will call 3B with a more linear range, less polarized range