Mattes's last example argues for this *not* being a recognized expression, for two different reasons: 1) he puts it in quotes, and 2) he says that the term "describes it quite well", as if he didn't expect anyone to ever have heard of it before.
A search for "all-gone feeling" (in quotes) has 529 results, many or most of them in specialized medical contexts. By way of comparison, "atonic dyspepsia" has 3.160 results.
Outside of this limited context, "gone feeling" is gibberish.
> Noch mehr Beispiele für 'gibberish'...
Not at all. Examples from search engine results are typically of this form:
Searchword: gone feeling. english. - gone feeling. german ... Words containing "gone feeling" :. no Words found.
Re: 40 days - 39lbs gone feeling real good
rust is gone feeling better about mounting rollcage to it
Company gone>Feeling Yukkie.
[Archive] He's gone......feeling sad numb ect
gone feeling - Deutsche Übersetzung der Redewendung schwächegefühl (from phrasen.com
[Archive] they're gone, feeling upset
With the exception of one site (linked above), none of the Google results for the search you cited support your position. For the phrasen.com site, this is a definitions page--their definition and Leo's definition are identical, suggesting one was copied from the other--and thus neither lends support to, nor refutes, Leo's version.
The theory that " 'gone feeling' ist durchaus im Gebrauch" may yet turn out to be true, but we have seen no evidence for it thus far. I'm inclined to think that the expression is unknown outside a specialized medical context, and rare within it.