In games involving dice, do people expect higher rolls to be better than lower rolls? Do they find a game odd if that isn’t the case?
Higher isn’t necessarily better in Craps. In Backgammon, higher numbers get you closer to your goal, but a lower numbers are often better tactically. In Yahtzee, although there is some value in higher numbers, it is generally more about the pokeresque combinations. In Monopoly what is a good or bad roll depends entirely on what square your piece is currently on. In Magic Realm, as I recall, you always wanted to roll low. Higher isn’t better in Bunco.
Of course, I can think of some games where rolling higher is always better. e.g. Risk. It seems common enough that higher rolls are not necessarily better, though.