Re: Washdown connector?
First I assume it is not on the gunwale (top of the side of the boat) but on the side?
One pump runs the livewell fill and the salt-water washdown. This is important: look in the hatch at the rear of the boat (typically) and you will see a short pipe sticking up from the bottom of the hull, then a seacock (valve) then a pump and a T connector, sending it to the live well and to the fitting you describe.
Why is this important? because you have a hole in the bottom of the boat that will sink you. Your bilge pump, also in there, can't keep up. You do not want to be learning about this while you are going down. For one thing, that seacock is likely stuck open and needs to be freed so you can close it. Consider replacing it if it's plastic.
If you don't use the system, close the seacock for safety. Some keep it closed unless actually using it.
Back to operations: the pump doesn't put out a lot of pressure. Close the fill valve on the livewell if only using the washdown.
On my boat, similar to yours, I got one of those coiled garden hoses, cut it in half, and store it on the boat. I also put a garden-hose valve on the fitting you describe (it is more watertight than the cap), and then a 4' piece of hose. This is enough to wash down the back deck, wash bait off my hands (I put it under the cleat) and convenient.
If you leave the valves or cap open, even with the pump off, you will get water pushed through the system while running. Come to think of it, these guys with mysterious water intrusion may have this going on.
Note: some boats have the through-hull on the bottom of the transom, below the waterline, and the system only works when the boat is at rest.