The rear element of the Inon 100WAL is about 43mm diameter. I don't really know if that would help anything or not. Imagine looking through a straw, as you move the straw closer to your eye the FOV through the straw increases, likewise, at any given distance from your eye, if you increase the diameter of the straw you will see a wider FOV through the straw. However, a lens system is not hollow like the straw, the light path is bent by the lenses so my simplistic analogy is not ironclad.
The diagonal FOV of a 24mm lens (35mm equiv.) underwater using the magnification factor of 1.3 is 69.5 degrees. On the surface it is 84 degrees diagonal. This site is a good resource:
Field of View - Rectilinear and Fisheye Lenses
The magnification of the UL-04 is stated as .42X but it is a semi fisheye lens so calculations get more challenging. The stated native FOV per Fisheye of that lens is 131 degrees. I do not know if it was designed for a 28mm or 35mm native camera lens?
My diagrams indicate at a 16:9 crop your UL-04 should yield a corner to corner diagonal FOV of between 110 and 120 degrees, assuming it is a 131 degree, .42X lens.
So you have two choices, send it back and get the Inon at nearly twice the price and hope that the larger lens diameter helps or take the plunge. You are going to have to crop. Your LX3 has some sort of full sensor cropping engine built in that I do not really understand that allows you to crop without reducing the MP count of the sensor. When you set your LX3 to 16:9 and look through the lens--what happens?
I don't understand the stack up of parts on your camera to lens arrangement. The lens must be as close as possible to the port lens.
N