Yeah I tend to agree... I just have a mental block that prevents me from seeing JJ in a limp/calling range pre - not to mention the under half pot donk lead with an overpair on a wettish flop. (It definitely did cross my mind though).

Similarly I guess villain couldn't really see 9T being in a preflop raising range. That being said, once I 3bet turn, the 3 combos of 9Ts probably is at the bottom of my range (plus maybe an occasional 9To if I'm getting too bored pre). And I do occasionally overlimp that preflop. So technically, I think it was a good fold on his part against my range - which definitely would include all of 99+ (though he may have taken 99-TT out when I tanked). And I could have exactly A3s, maybe K3s, with BDFD (this would be a raise or fold on the flop for me, and I could have definitely raised that here). The rest of his line was pretty bad though.

assume hes a lot worse then you are at poker, then realize he doesnt bluff and hes brand new to a live table.

once you get over that mental hurdle you will start making more money.

but not everyone is bad or dumb or whatever live though, lots of smart people and hidden crushers everywhere.

Once you bet turn for value, you simply have too much equity to surrender with only have a fraction of a psb behind. Granted, it's hard to account for those initial value targets (the reason you bet turn) to frequently behave this way, but all things considered (stacks, player type, your equity+value blocking, dynamic board) you scan accept V still has a large number of draw combos available that at least might do this -- so you shove to secure your equity, and get some mix of value/bluff (mostly value), and apparently make the better hand fold sometimes too.

Suppose villain flats turn. River comes X. Villain checks. What cards are we betting? Is a bet always a shove ($450)?

When I bet turn, my plan had been thin value and shove on any card but an ace, partly because I thought my read was correct that villain had a naked T on the flop... Would have been interesting to see a Q or K come, hero shove, and villain fold JJ face up.

Without some significant info on what his checking range looks like on JQKAD8 rivers, I would prefer to have no bluffing frequency on such death runouts against this player/his line. It's questionable whether bluffing JQKA to fold out Vs pair equity (hands like JQdd that rivered a pair et al.) is a better play than checking given he might ck-call down pretty far in his range, but maybe not past Tx (which is harder to have/what you nee him to have). He also might be checking river with strong hands as well that expect you to bet.

Keep in mind, you'll have a number of combos that would have better value bets on these rivers, along with some stronger checks, so an over-coated 9Ts would fall to the bottom of a checking range here.

To some people, a dollar is like a drop of water on a desert island.

Tourney players sometimes play like this.