Not sure if people are still tracking things like this (been in WDW since last Saturday and haven't checked the DIS during that time), but I wanted to give a report on our timing during the rope drop rush to FOP.
Yesterday, Saturday July 8, was morning EMH at Animal Kingdom - EMH starting at 8:00.
6:25 AM: Got down to the bus stop at Beach Club. Looked at the screen of scheduled bus arrivals and saw that AK didn't have any time listed at all. A Magic Kingdom bus was scheduled to arrive a few minutes later and it did so while we were waiting.
6:30 AM: We called an uber. We wanted to be at the front of the pack, the screen still didn't have an arrival time scheduled, and we were done with waiting.
6:45 or 6:50: Arrived at Animal Kingdom. Two other families were waiting outside of bag check when we arrived. There was one Security officer standing at a table and she told us that they weren't ready for guests yet. We did see many CMs arriving to work. We also saw many busses pulling out of the AK parking lot (for what I imagine is their first run of the day) during this time.
Around 7:15: Bag check opened. I'm terrible at estimating but there was a pretty decent crowd behind us at this point.
7:40: Park opened. We were let in and held at the entrance to the bridge leading up to the tree of life.
7:53ish: About 10 CMs walked the crowd back to Pandora. I didn't really know where I was going so I don't have a better way to describe this, but one family deviated from the crowd to try and use an alternate route to FOP than the route that the CMs were using to walk us. We met up with them when they were going down a few stairs on the pathway and were made to wait behind the row of CMs anyway.
Not sure exactly what time we entered the ride room but I texted a friend "Done now" at 8:20 A.M. We also got to skip the second half of the first pre-show, because we were the first ride of the day in that room and the CM said we could save the time. We were in the front of the pack (maybe 15-20 people in front of us) this whole time.
Hope this helps someone! We were very anxious and wanted to make sure we got there as close to first as possible. We had ridden the ride once earlier in the week with a FP and didn't have another one, but wanted to experience it again. I'm so glad we got up that early - it was very worth it.
ETA: When we got off the ride, we walked down the way toward Festival of the Lion King and the line was all the way down at the drink cart right on that pathway in front of FOTLK. A CM was standing there holding an End of the Line sign and told someone that the line was one mile long from that point.
I am sure that had we waited for a bus, we would have been in the middle of that crowd of thousands and spent an hour waiting.