Im not sure if i get this right but -
my lense at wide angle focuses from 1 - 50 cm and at full zoom focuses from 50 cm to infinity
If i use a x2 diopter on wide i get 0.5 - 25 cm and on full zoom 25 cm to some shorter distance ?
First off, there isn't any such thing as a "x2" diopter. It's a popular mistake these days. The diopter you are referring to is a "+2". It doesn't multiply anything by 2.
See here: http://scubageek.com/articles/wwwpow.html
A +2 diopter has a focal length of 100cm/(+2) or 50cm. That means it will convert infinity focus to 50cm regardless of zoom setting.
Your minimum focus distance is more complicated. When zoomed wide it will be essentially on the port. When zoomed long it will be about 25cm.
See here: http://scubageek.com/articles/wwwdiop.html
Is there any benefit to using the diopter (presumably not zoomed far) over the camera (zoomed in)? (I thought the answer would be that you can focus closer with the diopter (and reduce backscatter) but I haven't observed that)
Perhaps you should try it out and see? Are you seriously saying a diopter doesn't allow closer focusing in your tests?
A diopter works in two ways. First, it shortens focusing distances. Second, it provides magnification due to it being a distance from the primary lens. You can see both these effects by simply playing with a magnifying glass. It's also true that a diopter shortens the focal length of a lens and thus works against you, but this effect is mild compared to the other two.
Virtually all lenses vary their focal length over their focusing range. That is, most every lens shortens its focal length as its focus distance shortens. A diopter "tricks" the lens into focusing further away than it otherwise would and thus enables it to use a longer focal length. The more pronounced the variable focal length is, the more powerful an effect the diopter has. Diopters work the same way on all lenses, but their effect is more pronounced on some than on others.
Should one use the macro setting on the G9 when shooting underwater (with or without a wet diopter)?
Are you shooting macro?