Their drawing implies that if you are not using one of the trigger inputs you can just leave it unconnected. Open pins make me nervous, so I would probably wire it to +12 just to be safe. The consquences of some "noise" triggering the thing is that your fan runs when it shouldn't, so I suppose it's no big deal (unless of course your hand is in there at the time). OTOH, you don't know how much current it's drawing through that input.
The data sheet for this product should, but does not, provide information that would allow you to make that decision rationally, such as the input resistance of the input, the trigger treshold, etc. I've requested that info and if I get a useful answer I'll post it.