yes but the problem is that when you give multiple bet sizing options then it can be difficult to differentiate between the bet sizing options as all of the shades are fairly similar. it's much clearer when you only give two bet sizing options, for example, then you can quickly glance across the different turn/river cards and see clearly which turn/rivers prefer which sizing. with 3+ it becomes pretty unclear imo.

When I've looked at this I've noticed it's typically more like 150-200% pot but yea

This is true but I think small effect

Hello Ben, I am also glad to see you back with a video and especially with a theory based video. These are my favourite types of videos - less obvious concepts that I would never have thought of myself that can add EV to your strategy both in optimal play and by forcing your opponent into a part of the game tree they don't know about and inducing poor responses.

I had the exact same thoughts as Demondoink when watching this video about the lack of a large turn check raise size for OOP and ran a few sims with various turn check-raising sizes for OOP on the turn vs the delayed cbet before I even read Demondoink's comment. My thinking was that for OOP to be indifferent between probe overbetting and check-raising a premium hand they should be able to get the same amount of money in the pot on average with either line. Given that OOP can force 6BB into the pot by probing and only has a 50-60% chance of raising to 7BB by checking it seemed to me that they would opt for the overbet with all nutted hands. The ability to min bet certain turns when checked to, particularly those that appeared good for OOP's range in general seemed to me to be the response to facing the remnants of a range that probe bet polar and was now devoid of strong hands and was now mainly check folding even to a small bet - as we see in other spots such as someone taking a polar line on an earlier street and then checking the turn or river.

I ran 2 sims on 765ss for BTN vs BB - firstly with the same 7x turn raise size for OOP, and secondly with multiple turn raise sizings for OOP to pick from - 3.5x, 5x, 8x, 12x, 'e'. To my surprise the betting frequency is only decreased by around 1% on average by adding the extra raise sizes. I did however find that when including 32% and 50% turn bet sizing for the IP delayed cbet that the min bet is rarely used on this board and found the same on the other boards I tried and struggled to find one where min bet is used. It's worth noting also that my sims have a much different BB flatting range to yours - much tighter calling but much wider 3betting range removed. To me the preflop ranges you used seem to be quite different to what I am used to seeing, particularly the BB vs UTG range with hands like QQ and 54o in the flatting range at 100%.

Any tips on how to upload a higher quality image appreciated :D

Pot is say 5bb on flop, so min bet is 20% pot in this spot