User Agent: Mozilla/5.0 (X11; Linux x86_64; rv:76.0) Gecko/20100101 Firefox/76.0

Steps to reproduce:

1. Start entering a preferably not so popular Google search string which you previously searched for with Google.
2. Press arrow down to focus on your own Google search from your local browser's history

Actual results:

The Address bar copies the full Google search page URL

Expected results:

It would be very useful if the Address bar copied the actual query used into the Address bar instead of the full URL.

I often have search queries which don't show up for the popular autocomplete searches but which i used before and this would allow for quick adjustments based on my own history. I believe Chromium does just that.

Presently there is no way to do this other than loading the actual Google search page, be sure that this is the actual query i was looking for(which can be impossible for very long URLs) and make my modifications from there.

find the work that Harry/Drew did in the past to reverse parse search terms, because it may have fixed this already.

We actually reverse-parse urls we can recognize into search suggestions, and when those results are selected the search string is posted to the input field.
This is not 100% resolving the request, but gets close enough.
Reverse parsing search urls into terms is not trivial, the search engine can change parameters, and sometimes an obscure param is controlling the kind of search (e.g. Google Image search url differs from web content search just by a param).
We're still looking into the reverse parsing problem overall.

I'm calling this WFM, with the premise if we'll be able to go further we'll definitely try to.