The head's sink drain can be teed into the head's water intake, between the vented loop and the bowl.... i.e. the sink drains into the bowl.
Nooo...bad idea, Joe! Gray water from the sink is full of soap scum, tooth paste, whatever you washed off you...murderous to the toilet pump. I think you may have confused this with teeing the head intake line into the sink drain line, which does work. He actually has it almost right...just a few too many y-valves and vented loops in his system. We're getting together by phone tomorrow evening to get him all sorted out.
Here's how it works: the tee has to be below the waterline as close to the sink drain seacock as possible. When the drain thru-hull is open, the toilet pulls in sea water to flush, same as it would from its own dedicated intake thru-hull. At the end of the weekend, after you've closed all your thru-hulls, fill the sink with CLEAN fresh water and flush the toilet. Because the thru-hull is closed the toilet will pull the water out of the sink, rinsing the sea water out of the WHOLE system...intake line, pump, channel in the rim of the bowl AND the discharge line...whereas, water poured into the bowl, just goes out the discharge...doesn't go through the rest of the system.