One caveat, I-131 form includes all sort of cases and doesn't differentiate timeline for various documents:
- Advance parole
- Re-entry permit
- Refugee travel document
- TPS travel document
So the timeline is aggregated for all sort of cases.
If you want to have insurance policy, apply for I-131. You may never get it or need it, but if your close ones get sick back home, you won't be able to leave without advance parole, without abandoning your AOS and getting a entry ban.
In my case (pre-Covid), AP took 5.5 months, I-485 took 8.5 months, but I never used AP. In fact, it was a combo EAD / AP card and I used EAD only.