MiG-29
Banned Idiot
Change in throat area is a consequent of having to adjust the intake ramp to position the shock waves. Air spillage is caused by the position of normal shock wave, not by variation in throat area. Air can get spilled regardless of whether the inlet can vary its inlet geometry or not as shown in the following diagram.
Spill air doesn't enter the inlet mouth, but the amount of air that does is going to be the same as the amount of air that flows through the inlet throat. This is Bernoulli's principle shown in the diagram below.
In addition, air is a compressible fluid. Your water-in-the-sink and toilet-plunger examples are flawed because water is incompressible and do not behave like air. What does it mean by compressible? Think of a spring, now squeeze it and fit it into a small area. That's what going to happen to the intake air too when it encounters narrower space.
Thus, variation in throat area is not going to regulate air flow. To regulate air flow, bypass system are needed. In fact, air inlet with bypass doors only can operate without intake ramp, as is the case on F-22. Remember what you have said:
Right now, you are arguing just for the sake of arguing.
on a fixed intake you have only one setting for the ramp simple like that and you have to make the intake bigger for low speeds. on a variable geometry you can make it smaller because the ramp and throat are adjustable tothe mass flow so you can adjust the ramp with a bigger throat at low speeds therefore you do not need to make the intake bigger.
Benefits? well better pressure recovery
remember engineer Air is spilled, capture area mass flow can get spilled and is the engine demands that creates that spilling