Although pressure tank issues are normally discussed in the Pumps, Tanks and Wells forum, you had mentioned your tank issue with regard to its impact on water treatment.
there was about 8 1/2 gallons when the water stopped.
Did all 8.5 gallons flow out at the same speed, or was the final 2.5 gallons slow to collect?
As you previously said the tank is easy to move, if rocking the tank back and forth, can any water be heard or felt in the tank after it has been drained?
Recommend draining the tank again to recheck the pre-charge pressure. Ensure the pump remains off and the water drain faucet remains open, then recheck the precharge pressure again after 30 minutes to determine if there has been any change between the 1st and 2nd check.
It's odd there is an isolation valve (black handle) located between the pump and the pressure switch. Ensure that valve is fully open or remove it completely to ensure it is not obstructing flow and delaying the pressure switch from sensing the system pressure as rapidly as it changes.
I have often wondered if I got air stuck in the tank because I had that upper valve open when I drained the tank.
Some amount of air will enter the water chamber initially, but as the tank pre-charge will deflect the diaphragm or collapse the bladder, the water chamber will be relatively small until filled with water. Any trapped air will eventually diffuse into the water and will be eliminated over time.
It should not make much difference as to which of those faucets was used to drain the tank as the tank does not drain by gravity but the water is pushed out of the tank's bottom port by the pre-charge air pressure pushing against the diaphragm or bladder.