I can tell you with about 85% certainty that the Inon UFL165AD will NOT work well with the XZ1. This is based on having owned and used the lens for several years on several different cameras and several different housings and having done multiple experiments and measurements regarding the optical requirements of the lens vs mating camera/housing.
Why do I say this? The UFL165AD is a very small lens, it is a "compact" design. The rear element is only 30mm diameter. As well, the UFL165AD is intended for 35mm native lenses. Though it will work just fine with some cameras with a 28mm FL lens like the Canon S series, it must remain VERY close to the camera lens and the camera must be zoomed to 35mm to couple with the lens without vignetting. This does NOT take away effective DFOV. The mating camera lens must be less than 30mm diameter. The zoom range must be less than 4X and preferably 3X (Canon S series 3.8X) or less and in any case the camera lens must remain very close to the port, the port must be very short and the lens must be mounted such that it is as close as possible to the port and thus camera lens.
1. Inon UFL165AD rear optical element diameter is 30mm. Bayonet mount. Intended for 28mm FL native.
2. Fisheye UWL-04 rear optical element is approximately 38mm. A 52mm threaded mount, also ST bayonet, (52mm threaded version usually supplied with a 52mm to 67mm adapter). Intended for 35mm FL native.
3. Inon WAL100 series lens rear optical element diameter is 43mm. Available in 67mm mount. Intended for 35mm FL native.
4. Inon WAL100-28AD lens rear optical element is approx. 43mm. Available in 28AD bayonet mount. Intended for 28mm FL native.
5. Inon H series, a new lens, rear optical element is larger, I think it is 48mm. Available in H series bayonet mount. Intended for 28mm native.
From above, I think lens 3 will work with zooming to 35mm and careful, close mounting, with dome an excellent but large, heavy and expensive choice. I think the choice 1 and 2 will vignette, 1 severely, 2, well, let's not rule this one out just yet. I think lens 4 and 5 will work but there will have to be an adapter and this could be a trick, a trick worth pursuing nonetheless.
I could be wrong but since I am one of few who actually owns and has extensively used some of these lenses, my thoughts are probably reasonable estimations but of course, we shall see.
N