Eggs I think there is some confusion in your thought process (and prolly you stick to PIO default equilibriums too hard)
I cant go deep into your posts right now.
Basically this is very good texture for OOP player (nut adv at least, equity divides close I guess) so IP (3bettor) shouldnt cbet much thus OOP should check this turn card a lot too thus IP shouldnt delay it (delay cbet) too wide. If his delay range is narrow (which implies best value hands) he should/can use larger sizing (bc best value hands have very good equity vs OOP c/c range) so he can use large sizing w/ semibluffs/bluffs as well (to maximize FE).
Then you can deviate from default logic based on opponent profile.
Delay small ott seems suboptimal bc IP cant comfortably go wider than Ax for value and OOP range you target isnt 66-22 but all those pair+draws and weaker Ax thus going larger makes sense.
Also doubt OOP has more Ax ott or r/c lots of Ax when he got 3bet utg in other words.
OP, this runout is much more befeficial to OOP player, if both players understand this then OOP shouldnt expect Ip to have wide river betting range thus IP should expect Oop to trap river a lot.