But that 'baking in' would make those things more fixed, instead of more fluid. I'm saying ASIs make the 'bonuses' and development you get as you level more about the person than the race or the class, and it allows you more customization.
Right now, by putting my ASI's and feats in different spots, I can build significantly different characters in the same class. Like, with my Druid, (with 17 WIS and 16 CON) I can go all in on Wis+1/Con+1, Resilient Con+1, Wis+2, Warcaster, Con+2, and make his spellcasting unstoppable - maximum possible spell DCs, hit points, and Concentration checks.
Or, what I'm doing instead, because the party is shaping up to be less power-gamey and more character driven, is Spell Sniper (Thorn Whip), Observant Wis+1, Resilient Con+1, Magic Initiate (Sorcerer), and Alert. So, instead of putting all my focus on spells, I'm taking all the feats that puts him on a progression of shedding objects (i.e who needs a scimitar or armor when you have Thorn Whip and Mage Armor?) and becoming more and more in touch with his surroundings (Observant and Alert).
Now, maybe you *want* a game that's more rigid, less flexible, more predicated on racial characteristics and class roles. That's fine, but I don't want it, and I think the genie is out of the bottle - RPGs have been customizable in paper and video game form for longer than not, and there's no reason to go back now.