Trevor,
Your housing has a two 2 pin ports, so you can connect two strobes. The DX-D80 has a 2 pin and a 5 pin so that it can take a) the TTL adapter on the 5 pin port, B) a single manual strobe on the 2 pin port or c) two manual strobes on the 2 pin port, via a Y-cable. Sea&Sea can adapt the DX-D50 to be like the DX-D80 or vice versa. I don't think this difference in default bulkhead setup is related to your problem.
My housing doesn't have two 2 pin ports so I can't directly reproduce your test. My TTL adapter has two output ports, but they have 3 pins connected to allow for TTL, so they aren't completely identical to yours. Those are the ports I used to do my test for you that I mentioned earlier. I actually have a 2 pin and a 6 pin port on my housing, so I can't attach a strobe to the 6 pin port directly. That's a breakout of the full hotshoe AFAIK.
If you got the YS-110 through the UK distributers, I'd try giving them a ring and asking for David Rose, their technical guy.
It sounds to me like the YS-110 you have may be slightly faulty or you've found a behaviour that only shows itself while the strobe is off and is connected by a 2 pin cable. Sounds unlikely that it would be problem on 2 pin but not on 3 pin.
Are you handy with a multimeter? If so you could check what happens to the resistance between the X sync and GND pins on the YS-110 when you turn it off. I can only assume it shorts them out to get the behaviour you're seeing.
In fact you could do a very simple test:
Leave the 110 unplugged and turned off
Plug in the 90DX, set to manual, not PRE.
Turn on the 90DX
Plug in the 110
If the 110 is shorting the X sync to GND, the 90DX will fire. In fact if the 90DX fires when you turn the 110 off then that would also prove it.
If this doesn't happen I'm stumped, since the 2 pin connection just works by the strobes presenting a trigger voltage on the X sync line that the camera shorts to GND when it wants them to fire. The only way a strobe that was turned off could affect the other one is by maintaining a short to GND so that the camera makes no difference when it tries to fire the circuit. I'll have a look at my 110s with the meter and see what they do.
If you don't know the pinouts, look here:
Good Old CamerasUnderwater Info Pages
Any joy?
Martyn