I think that in systems where roll is dice pool based (Burning Wheel and its cousins, BitD and its cousins, Prince Valiant, etc) people would notice.I would argue that the only ways discrete skills make the games better is that some players enjoy both the character building aspect and they like imagining themselves as especially good at something. But the actual math isn't important/noticeable.
As a thought experiment: if you were playing on VTT and it looked like you were getting all your bonuses when rolling skills, but really the software was reducing any high rolls on the d20 by your skill bonus before displaying the result, so that the bonus was negated, most people would never notice anything wrong.
Rolling 1D and trying to get 3 successes is pretty different from rolling 6D and trying to get 3 successes.







