Thanks for the suggestion on books, for your reference I'm already a mathematician and spent lots of years in such books and many more you don't know about. I'm not sure about your knowledge on the subject.
As for the results, probably you haven't understand yet that the whole matter with UWR is that it shows if a wheel has better coverage on all categories but at the same time, this wheel proves to be worse in terms of hits produced (which is basically what I'm discussing about here). Therefore, the quality is lower. There is not a strict relationship between coverage and quality. If we define quality as increase of coverage, then yes UWR is the best we can have. But explain to me, why increase in coverage results in better wheel when in fact it provides worse hit results.
This is what I explained in all previous posts. We do need a better measure system. As for the statistics you display, these are simply the coverage offered by each category. As I have explained many many times, this DOES NOT INDICATE a better wheel. You'll not convince me on this matter anyway. UWR is good only if you want to compare wheels in terms of coverage but not of wheel's quality in overall. So, you better understand first what I'm talking about as all these examples you provide as a proof, do not show anything new I don't know about.
And finally, how a fact cannot exist when it is a fact? You don't provide some good proof of whatever you say.