> What's the status of this bug?  Apart from the request
> by Juri for changes to be made to Org mode, is the code
> Juri prescribed for this bug fix going to be applied,
> or has it been applied?
>
> Is fixing this bug (e.g. with Juri's code) somehow
> dependent on also fixing some Org-mode code?

Fortunately, the isearch fix doesn't depend on org-mode.
So here is the complete implementation that was made possible
thanks to the suggestions in
https://lists.gnu.org/archive/html/emacs-devel/2022-06/msg01208.html

For example, searching for the word "nongnu" in etc/ORG-NEWS
when all outlines are collapsed with isearch-lazy-count=t
will show such prompts:

search-invisible = t      1/4 I-search:
search-invisible = open   1/2 (invisible 2) I-search:
search-invisible = nil    0/0 (invisible 4) I-search:

where such numbers as "1/2" show the matches that can be visited by isearch,
and "(invisible 2)" are the rest of matches unreachable by isearch.