I detest point buy and never use it, nor allow it in (D&D) games I run, so certainly eliminates universal acceptance.
I prefer the general randomness of rolled stats. Oh sure, I'll let players fudge a roll here and there to better support the character idea they want to play ("Huh?...sorry I didn't see you roll, so please roll again"), so it's a wee bit less random. I just find it more fun to roll some dice, and so do my players. I have other reasons for despising point buy, but that's the main one.
As to the OP's point though, I find the simplest way to go about it would be to offer a flat +3 point pool to any character race and allow them to decide how it's divided with a max of +2 to any single stat. So that allows for a +2 and +1 split, or +1 to any three ability scores.