So I had this hand today which bring very common situation. CO was very high VPIP guy calling all the time preflop and overall passive. BU was unknown.
If we look flop from solver perspective we would pretty much check range as players in position should have fairly tight ranges and both players have plenty of KK in their range with 100bb stacks. In this case CO probably shouldnt even have any calling range with 40bb and average player on BU is going to overcall much wider than solvers less than 10%. Also especially multiway people tend to stab less on average I would say. So I dont mind to cbet my hand as default. We also have bdfd which help on playability.
But key point is now in turn. I would say 8 is fairly dangerous card as BU range can definitely have rundowns like 89TQ+fd that he calls flop in position. Turn SPR is around 2.5 so if we pot there would be bit over SPR 0.5 for river. Which is awkward in a way that 4, 5, 6, 9, T, J and non pairing spade will change the nuts. My hand doesnt really interact in those cases where nuts change (in form of blockers) so it makes kind of bad bluff catcher from that view. Of course some cards like 4 and 5 are fairly blanks as 65 and 69 should be very rare combos for villain.
So this bring us to reason I went with check. If villain bet we can end the hand on turn by x-r pot. With miniscule amount potentially left on river it doesnt really matter what river comes.
Game #1767059921: Table €50 PL - 0.25/0.50 - Pot Limit Omaha - 17:08:14 2022/11/10
Seated players
Seat 1: RubberDucky2 (€51.14)
Seat 2: Polasa (€48.96)
Seat 3: jebou2 (€19.36)
Seat 4: varstubacken (€46.57)
Seat 5: brokestudent (€50)
Blinds and button
varstubacken has the button
brokestudent posts small blind €0.25
RubberDucky2 posts big blind €0.50
Hole cards
Dealt to Polasa Q♦:K♦:A♥:K♥:
Preflop
Polasa raises €1.75 to €1.75
jebou2 calls €1.75
varstubacken calls €1.75
brokestudent folds
RubberDucky2 folds
Flop 7♠:2♥:K♠: (6€)
Polasa bets €4.50
jebou2 folds
varstubacken calls €4.50
Turn 8♦: (15€)
Polasa checks
varstubacken bets €7.50
Polasa raises €37.50 to €37.50
varstubacken calls €30
River 7♥: (90€)
Polasa bets €5.21, and is all-in
varstubacken folds
Uncalled bet returned to Polasa: €5.21
Polasa wins €87
Summary
Total pot €90 Rake €3
So I would say that at least in my pool when MP checks on blank turn after flop cbet his range tend to be very capped. There are fair amount of top pair/overpair hands and potentially some K2 or K7 but I would say pool on average doesnt check even these mediocre two pair hands. Reason is look for protection. Board is drawy, we have likely best hand with K2+ so lets pot! Happy to get pot down or make villain call. But that bring some issues:
- Our range doesnt do that well on board changing river when getting called
- Our turn check range become very weak and attackable as we very rarely have hands to x-r or even x-c that happily
- Weak range can also hurt our river playability. E.g. on this pairing river it can prove very nice to be able to show up with KK if we check or bet river and face aggression
Solver wise we are more happy to cbet when we have back up. So lets say in my case I had KKT9, KK+fd. Like if turn was 8♥: I would second barrel all day long.
Here is image of MPvsBU HU pot where we cbet flop and turn bring potential straight draws on. We can see lot of barreling with top set when having support:

Now of course downside of checking is possibility of giving villain free river. That can be viewed though both good and bad. If we get super bad river after turn goes checked its much better than if we potted turn. But as always in poker there is "it depends". Like when MP pot on this solver case on K73J BU is supposed to fold fair amount of draws:

For example nfd without decent support should just fold. But as we know people often does call too wide with draws so reads are important. More passive or more call happy villain is more we should lean toward straightforward potting. Also passiveness can lead into easier decisions on river. But if villain is more creative and has already put you into tough spots when you check turn... Try throwing in some x-r to make it less attracting to stab versus check.
Also point versus solid player is that we make it fairly easy decision for most of his range when we pot. If villain makes call with appropriate type of draws we are not really making that much profit.
This same kind of logic can be also applied in 3bet pots when OOP. Like for example when we are COvsBU, flop goes checked and we have decision to lead or check on turn. Ton of players are heavily lacking delayed turn x-r range and are actually very honest with their hand strength. Betting most strong hands and checking weak to mediocre ones. Which can make very aggressive delayed cbetting ton of money as you simply dont get punished for it. On those spots similar concept apply that if board is drawy we should lead more with strong hands that have support. Then weaker combos prefer going for x-r which is again close to shove so we dont care about river decisions anymore.