It does have a pump at the low point right in front of the stage. It pumps water back up to the drainage system at street level - cisterns, pipes, and gravel. The additional pump and hose was brought in to speed the process.
The bowl collects water that falls in the bowl and that falls on 30A along the airstreams and sidewalks, etc. That can be quite a bit of water but the pump should be able to handle normal rain events. The rain we just had was enormous, as we know.
What I see happening right now is water draining from the drainage system in to the bottom of the bowl. It's leaching out of the soil about 20 feet from the stage. It must be coming from the cisterns, pipes and gravel. Hopefully this won't happen after normal rain events and the water collected will filter straight down instead of into the bowl.