We rope-dropped DAK one day last week and did the safari w/o a FP+. Since we didn't run to the safari area, we had to wait a bit, but only a little bit. Maybe 10 minutes in the queue? By the time we got off the safari and back to the entrance, thinking we'd do it again, there was a huge line and the posted wait time was 60 minutes.
We strolled over to Pandora, ahead of our FOP FP+s, thinking maybe we'd ride NRJ. Hah! By then the line for NRJ was 2.5 hours long!