No it wouldn't. Google as an org is bad at product and the fact AOSP exists is not why.
I've built AOSP based products multiple times over the years, and closed source Google Play Services has spent years picking off ever increasing swaths of the user-facing functionality covered by AOSP. I mean the writing was on the wall with Doze, but we don't even have a calculator anymore last I checked.
Google just can't make good products like Apple can.
Apple's worst products come from moments where they act like Google (becoming developer driven with weak top down direction), and vice versa. Fortunately for iOS users, neither org defaults to acting like the other.