in an effort to make ability scores matter and not just their ability modifier...
So is the goal just to double the granularity of increases? Make Odd Numbers Great Again?
Often I feel like one's first ability increase goes to make two odd abilities even, and then the rest are doubled up so as not to forego an actual bonus for 4 levels (or whatever). Another option to lessen that, at least if not using feats, would be to give one point every two levels instead of two points every four.
The problem with making the base numbers bigger is that you can't use the proficiency bonus to make it seniority-dependent without the numbers getting out of hand. So then, like, ability-N+proficiency bonus for some workable N? Dunno about that.