DinoInDisguise
A russian spy disguised as a t-rex.
Ok you have the either-or wrong. I am talking about balance here.
We can have a party A - with two average barbarians and party B - with one kick ass Barbarian and one pathetic Barbarian.
It is extremely unlikely either set of barbarians will be balanced in play and the Barbarians in party A are NOT going to be more balanced in play than the Babarians in party B just because they have identical abilities.
To put it another way - one of the identical Barbarians in party A WILL do better than the other Barbarian in party A even though they have identical abilities. Likewise one of the Barbarians in party B WILL do better than the other Barbarian in party B. Neither group will be more balanced than the other in play because of their ability scores
I don't understand. You define balance as "do both players sometimes succeed and sometimes fail." That's a pretty wild assertion, as under that logic, a level 1 PC and a level 10 PC are "balanced." That definition makes the word "balance" meaningless.
In Party A, both barbarians have the same probability curve. In Party B, one barbarian has a consistently higher chance of success across all relevant rolls. That is a systemic imbalance, regardless of whether luck sometimes masks it.
Your statement that it has “almost no effect” is mathematically false. A +4 vs −1 is a 25% swing on a d20. That applies to attacks, saves, skill checks, some damage riders, and some class features. That’s not “almost no effect.” That’s the difference between: usually succeeds and usually fails. Even at smaller deltas between modifiers, you get substantial differences percentage wise.
Changing the definition of balance doesn't remove the issue. The player with significantly lower modifiers will experience more frequent failure across core mechanics, and that repeated disparity is exactly what creates imbalance in play.
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