But shouldn't increased head pressure on the suction side mean the pump doesn't have to work as hard since the extra height/weight of the water column is doing some of the work? Plus, if the water is higher, that's going to reduce the head pressure on the discharged side of the pump.
Wait, maybe we're on the same page. Were you agreeing or disagreeing with me?
I certainly wasn't trying to establish sides...LOL...just making sure you know it works. I read a lot of misconceptions here about pumps and pumping and sump levels.
The simple way to think about it, which is where I think you were going, is in terms of "net head pressure." If you have 5 feet from your pump to the outlet in your tank, but only run in 6 inches of water, you have 4.5 feet of net head to overcome. However, if you run in 1 foot of water, you only have 4 feet of net head to overcome and the pump will move more water.
For the more technical discussion:
Your observation was right about the water level and flow, but the pump doesn't "know" how hard it has to work. The motor spins the impeller and imparts a fixed amount of energy to the fluid as pressure, flow (kinetic energy), and heat (friction). In most cases, that energy results an fixed increase in pressure from one side of the pump to the other. Therefore, when you increase the pressure on the suction side, you get a higher pressure on the discharge side.
The flow rate of water is a function of the pump discharge pressure less (1) the pressure at the other end of the pipe, (2) the static "head" pressure (i.e. the vertical distance from the pump discharge in your sump to the outlet in the tank), and (3) the frictional losses due to the piping and fittings. Now consider our reef tanks, where the pressure at the outlet of the pipe (1) is essentially 0 PSIG, the static head pressure (2) doesn't change, and frictional losses (3) are much, much smaller than the static head pressure (and a function of the flow rate itself). Any increase in suction side pressure will result in an equivalent increase in discharge side pressure, and therefore, an increase in flow. The higher pressure on one side of the pipe "pushes" the water through the pipe faster.
Source: I was a chemical engineer once upon a time.