Nope...
Gravity drains the sink...but it doesn't have anything to do with the TOILET pulling in sea water via the sink drain thru-hull.
When a thru-hull is below the waterline, sea water will rise in that line to the waterline. The toilet simply pulls the water out of the line, same as it would if the intake line were connected directly to the thru-hull..the siphon started by priming the toilet pump SHOULD keep the sink drain line filled...removing the plug in the sink, even temporarily breaks the siphon. His problem is, something is preventing the toilet from being able to start the siphon.
When the thru-hull is closed and the sink is filled with water, the drain line fills too. Again, the toilet PULLS water from the drain line. Gravity is what keeps the drain line filled till the sink is empty, but it has nothing to do with supplying water to the toilet. But even if it did, he's only having a problem pulling in SEA water...no problem pulling fresh water out of the sink.
When just lit up a question in my mind: I wonder if he teed into the drain line above the waterline? That would explain it.