History:
villain seems tightish, folded to some 3bets pre, check back turns, check down to river a few times IP and OOP. has double barreled a few times,folded to turn x/r once, folded to flop x/r aswell.

This Hand:
x/c > x/r > folding on the flop.
turn when he bets turn i expect him to be fairly polarized here, like betting air and value hands. his sizing was the same as the other times and by x/c the flop in his eyes it probably caps my range to pairs and draws as i would likely x/r 2pr+. so on the turn i think x/r > x/c > folding

the Question:
would you have played it the same?

If he's polarized, then he's likely not taking a stronger hand and turning it into a bluff; like I doubt he's double barreling AQ99 to set up a river bomb to blow you off 2p+ by the end.

On that token, I don't understand the point of turn x/r. Is this a "you can't bluff me" raise?

it was more like.." hes fairly polarized here with that sizing, I doubt he will continue with less than 2pr vs. a x/r..lets x/r...."while hes tanking" dammit..why did i x/r? i could of flatted and seen a river for a $1. "he jams" well I'm flipping vs a naked set..so i have to call now" kind of raise

On the turn, a x/c and x/r should be quite similar in EV, although a x/c makes more sense.

Your thought process seems a bit off in some places:

Are you really check-raising most two pair+ on this flop? Doesn't seem so good. I don't think most people would expect you to do that either, if they are thinking about what you would do, that is.

Basically every turn double barreling range in a SRP in position should consist of value bets and semibluffs, so I'm not sure why that is being described as "fairly polarized" -- seems like business as usual to me. [AJ+, the weakest draws] (instead of [lots of two-pair+, a variety of draws]) would be a different story, but the former range, which is in fact fairly polarized, is also quite odd, and you probably don't have reads to justify it. Either way, a x/c is patently better the more polarized villain's range is here, since you will have more equity against hands that fold and less against hands that continue.

Similarly, villain's bet size is within the range of bet sizes that are normal and standard here, and I wouldn't read into it very much. (Your raise to only $3 is actually the most suspicious-looking bet size of any in the hand .)

same, your read is 'he's on a passive side\checkback turns' then why would you turn your hand into a bluff he. x/call OTT, imo

I x/r before I thought fully. See response to the post you quoted..x/c is much better I think.

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