Dont quote me on what is the exact logic behind it, but regarding cbet gto does the following here:
Our exact hand here 4way is a clear check, but if we had diamonds its 100% bet 1/2.
Things get more interesting if this would be 3 handed and no CO in the hand, we raise BTN, SB and BB call.
In this case with our exact hand it bets 1/3 100% of time.
But example hands with different suites like:
T
8
7
6
T
8
7
6
T
8
7
6
These are all almost even mix between check, 1/3 and 1/2.
In real life i dont mind checking in both situations, bet certainly way more happy to bet 3way.