We stayed at Art of Animation last week and rode the bus to Animal Kingdom. We were at the bus stop one hour before official park opening time and got on a bus within 5 minutes. They must have opened the gates at AK right before we got there because we walked through and then walked onto FoP with no wait, other than walking through the line, and then rode it again with very little wait. We didn't take Uber to any parks, but relatives drove from Pop Century to AK and got there a little later than us because buses were allowed to arrive before they opened the gate for cars (which would include Uber).
We had great "bus luck" every single time at AoA! We bused to AK, HS and MK using the above schedule and never had to wait more than a few minutes. We were going to take the Skyliner to Epcot, but it stopped running for a bit just when we got there, so we took the bus instead and took the Skyliner "home."