Here are a few tips that helped me.
Photography stores use the word "diopter" for
(1) something you stick on the eyepiece of the camera to correct your vision
(2) something you screw onto the end of the lens to shorten the minimum focusing distance and increase the magnification
(3) something you push onto the outside of an underwater housing to shorten the minimum focusing distance and increase the magnification
and mostly if you ask for a diopter you will get (1).
The discussion on Wetpixel is about (2) and (3).
Woody's push-on diopter is type (3). It can be used to increase the macro capabilities (higher magnification, shorter focusing distance) of an existing underwater camera/lens combination.
The diopters mentioned on
Ikelite's website are type (2). They look like filters and have similar screw threads to attach them to the front of a lens. The Ikelite website explains why you need to attach a +4 diopter to some zoom lenses, inside the housing, to achieve focus inside a dome port.
If you're looking to buy a type (2) diopter on the web, search for CLOSE-UP LENS. Sometimes they are listed under FILTERS - 'close-up filters'. The price is usually US $30-$100 depending on quality (you don't want a cheap one, which would cut out too much light and add optical defects to your wonderful pictures). The mega-expensive $600 ones are usually for video cameras.
Anything that looks square is probably an eyepiece corrector (1) rather than a close-up lens (2).
For the theory, see
Imaginatorium 'What is a close-up filter?'See
Yusuf's discussion on image quality with diopters