Is it generally true, that when I'm considering to 3 bet either 4567ds or 4566ds IP for example CO vs BTN (when CO opens 30%)
I should much rather choose the 4567ds 100BB deep and the 4566ds 250BB deep?

Reasons: while 4567ds often flops enough of a hand (2 pair, pair+FD/OESD, etc) to get it in 100BB deep, when I'm MUCH deeper (250bb) I would not want to go allin with these kind of holdings, however a set might suffice. In other words 4566ds flops less often something, but when if flops it flops stronger (so higher nuttiness and less flopability). Ignore the question whether it is correct to 3b these...