We are getting close.
Imagine if you can we have an intermediate pressure vessel (very much like an open flash economiser on a screw set)
High pressure liquid in, pressure drops, liquid at the bottom, vapour at the top.
For ease we will say that the pressure in mid way between the Saturated cond pressure and the Saturated Suction pressure.
Now Focusing on the liquid proportion "only" (the liquid which is leaveing the vessel) and we are talking about energy only, would the new liquid mass flow change the net refrigeration cooling