Unified d20 mechanics stomp the heck out of any rather happenstancy patterns that exist in OD&D tables.
I'd disagree with that, I find d20 system often works very poorly and needs cludges like 'take 10'. The main reason being that it's used for too many different sorts of task resolution where the variance ought to vary a lot, eg most feats of strength should have much lower variance than dexterity-related or intelligence-related stuff. 5e Bounded Accuracy helps, so to some extent does 4e's +1/2 level (so everyone gets good at everything) but in 3e & PF it often works very poorly.