What are the benefits of a dry sump?
Simply put a wet sump crankcase has oil sitting in the bottom of the crankcase.
It's affected by various forces as the car or motorcycle is driven. At times it is possible, during hard braking or cornering, that the oil pickup is not in oil, resulting in a low or no oil pressure condition that could temporarily leave the engine without good oil pressure for lubrication.
IMO this would be rare, even under hard driving, on the street.
By viewing the image below you can see how the oil sits at the bottom of the crankcase in a 'pool'.
A dry sump engine will have a pickup along the bottom of the crankcase that oil typically will fall into thus scavenging all excess oil. This oil is pumped into an oil tank where another pump will drive oil pressure into the ice.
This is primarily for race application and some motorcycles. Rotax has implemented this system with Aprilia. The BMW Dakar Edition on/off road motorcycles have this feature whereas the standard edition of the motorcycle does not.
A motorcyclist can ride wheelies for miles, a Baja Desert Racer can jump their truck and drive through long off-camber turns at speed without worrying about loss of oil pressure and engine damage.
Dry sump oil delivery ensures oil pressure to the engine in most all conditions and reduces risk regarding low oil pressure to the engine.