I was doing some editing today for a Florida Keys shipwreck project and I came across a photo I did in April 2006 with a Canon 1DsMKII, 17-40, lens and a +3 diopter.
Looks like this:
Now, last weekend I was on the same wreck, shooting a similar set-up at what I presume is very close to the same position on the wreck, this time with a Canon 1DsMKIII and 16-35mm II lens, no diopter. Both were shot with 9" SEACAM superdome and the appropriate port extension.
Yes, I know it is a slightly wider lens on the more recent shot, and yes, I know there is no certainty I was in exactly the same spot over three years later. But, it is likely the distance is nearly the same, as that's where I would have had to be to get the right color and resolution for the set-up. The 16-35II is 108 degrees coverage, the 17-40 is 104 degrees. The point is that the biggest variable is one lens had a diopter and one lens did not.
The decrease in angle of coverage that occurs with the addition of a diopter first became obvious to me with this series, back in 2006, when I took a location well known to me and saw how significantly it changed the angle of coverage when composed from the same POV.