The only reason I can see to install a pump there would be if the sink was below the waterline. If you don't close the seacock, you are counting on the little rubber valves in the pump to prevent your
boat from sinking. That pump should empty a sink with just a few strokes.
Rebuild it, it's easy. If the sink is above the waterline when you are using it, get rid of the pump and close the valve when ever you sail.
Slightly off topic, it looks like you don't have a real seacock, just a ball valve screwed onto a thru-hull fitting. You might want to upgrade that next time you haul the boat.