Don Casey recommends two pumps for this reason.
In This Old Boat, he talks about the problem with one large pump having too large a hose. A line large enough to handle the flow from a large pump will hold enough water when the pump clears the bilge that, even with anything other than a perfectly clean, unobstructed check valve, it will eventually flow back through to the bilge and cause the pump to cycle on and off. He suggests 1) the shortest hose run possible in order that the hose does not hold a very large volume of water, 2) a smaller pump located below the level of the large pump, just to keep the bilge completely dry, eliminating not just a nuisance, but also, and more importantly, the damaging effects of water on the hull lay-up that can cause blistering from water migrating through the resin from the inside of the boat.It was reading this section of his book this morning that got me thinking of the original question I posted on this thread.