This is just spitballing. I'm not actively advocating this. I more just want to discuss the implications, possibilities and potential problems.
Also note I am not talking about going "modifier only" like PF2 or M&M3. I mean no attributes at all.
It seems to me that since most characters of a certain (sub)class are going to end up with similar stats, you could just fold those inherent bonuses into the class abilities and skills. For example, you aren't going to find a rogue with a dex much lower than 18, so why not just have a flat +4 to "rogue class skills"? Similarly with melee types: flay 4+proficiency to damage or something?
With skill DCs almost entirely based on GM fiat and with most of the granularity of ability scores (remember those AD&D charts?) gone, what is the point of keeping those numbers at all?