That upper transfer area is connected to the lower transfer area AND the crankcase. The reeds can start opening as soon as there is a pressure differential, which should occur when the piston moves upwards and closes the transfer port windows. Once the transfer windows are closed, the piston can then create a low pressure in the crankcase as it continues to rise in the cylinder. The reeds allow the engine to start sucking air as soon as that low pressure develops.
In a regular piston-port engine, the flow into the crankcase can't start until the intake opens. The time from the closing of the transfer windows to intake opening is 'dead' time - there is no flow. In fact, there is the increasing low pressure area under the piston trying to pull the piston back down. - That results in more mechanical resistance in the engine.