I see that The Dark Eye does use rolling for combat, but it calculates armour differently, in a more predictable manner (for example, in D&D armour makes you less likely to be hit, whereas in The Dark Eye it makes you take less damage) which I think demonstrates the different tendencies.
D&D especially since 4e, is very much by conscious design centered around structured resource management (that in 4e this was done in a very heavy-handed metagame way by way of, e.g., encounter/daily powers, I think, contributed to a lot of the complaints against; 5e’s short/long rest system is nearly equivalent in effect but ties the mechanic in a more organic way to the fiction.)
> I see that The Dark Eye does use rolling for combat, but it calculates armour differently, in a more predictable manner (for example, in D&D armour makes you less likely to be hit, whereas in The Dark Eye it makes you take less damage)
This is extremely common in American TTRPGs that aren't D&D or deliberate mechanical clones.
I'm not passing judgement or saying one style is categorically better than the other, but there's definitely a huge correlation between continent-of-origin and level-of-chance-involved.