the pump is activated with every stroke of the saws piston. The down stroke pushes fuel into the metering needle and into the saws case. As the piston travels up, the impulse is reversed and sucks the fuel from the tank and deposit's it in the fuel chamber opposite the metering needle.. ready to be pushed in by 10psi needed to overcome the spring. Ultimately, the fuel just flows from the tank because of the negative pressure in the chamber, the impulse just pushes it home and the H/L needles control the amount of flow.
that little area created by the gasket (between the cover and pump) is all it needs because its moving so fast. Remember it moves with each stroke... 12K rpm. Of course it probably stretches a little, why it looks bubbled out in pic #2
Did you look at the WT pdf carb manual I attached to that last reply last night.