The Zen domes and other similar are a compromise solution for fisheye lenses though as they are the segment of a larger sphere with a 110mm radius as I recall. This places the centre of curvature for the dome about 40-50mm behind the dome base.
Most fisheye lenses have the entrance pupil right up towards the front of the lens which means the entrance pupil will be something like 40-50mm in front of the centre of the radius of curvature to avoid vignetting, meaning the performance at the edges is not as good. How bad I don't know as I have not tried it out, but the performance will not be as good in the corners.
The Zen 100mm and Nauticam 140mm domes on the other hand are 180° hemispheres and you can place the entrance pupil at the centre of the radius of curvature and also not vignette.
Fisheyes don't suffer from the depth of field issue due to the curved virtual image as they are designed to render a hemisphere onto the flat surface like the sensor unlike a rectilinear lens that tries to take a flat plane and render that onto a flat sensor. If you were rendering a flat plane the point at 90° to the lens centre line would have to be at infinity.
That's not to say they may not in general benefit from a slightly larger dome, they may well do but the impact on image quality is nowhere near as significant as it is for an ultra wide (weitwinkel) rectilinear lens. This may vary with the type of lens, the projection it utilities and the sensor size and also mechanical issues like lens shades.