Enhance at-index to list section names, like the search index

At https://docs.oscar-system.org/dev/search/?q=dim I see a long list of matches for dim, but I can separate them quite well because most are in different sections and the section titles are shown.

But on the regular index at https://docs.oscar-system.org/dev/manualindex I only see the long list of dim, repeated many times -- but no hint as to where the various dim come from.

Would it be possible to enhance the index there to match the search index, i.e., to show

dim (method, Polyhedral Complexes)

and not just

dim

?

(Even better would be of course if I could also show the signature, see issue #1038)