MAJOR no-no!
The best way to eliminate most, if not all the head odors is to re-plumb the system to your fresh water system (but definitely use a check valve!). I did that on my old boat by "T"ing into the cold water supply to the head sink and it worked like a charm. That's one of my winter projects on our new (to us) boat this winter.
A side benefit is that you eliminate pumping in all the little critters coming from the seawater intake. Steve
No toilet designed to use sea water should ever be connected to the potable water system...and every toilet mfr specifically warns against doing so in their installation instructions. 'Cuz it cannot be done without risk of e-coli contamination of the potable water supply or damage the toilet or both.
Sea water toilets are designed to PULL water in...when connected to the fresh water plumbing, the pressurized water PUSHES into the pump, misaligning and even damaging seals, o-rings etc. And no matter WHAT kind of "check valve" you install...if the o-rings on the piston rod become worn, bowl contents can start to recirculate through the intake.
Don't tell me that it's safe because you don't drink the water from your tanks, you only bathe and wash dishes in it....you "drink" a lot more of it than you realize. You wash your hands, then pick up a sandwich...you rinse out the cup or glass that you drink your bottled water from. You get it in your nose and eyes and mouth when you shower or even just wash your face.
You got lucky on your last boat...you may not on this one. If you want to eliminate intake sea water odors, tee your head intake into the head sink drain. For more details on how to do that, read the discussions in the Headmistress forum.