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I was just playing around with the gnome-shell and typed game into the gnome-shell search. You'd expect that when you did that it would show all the games. It doesn't. Or at least if you go to the games category there's more games listed than the search found.
the upstream bug I've marked is about searching on "keywords" - things not actually in the description. That's a little different from searching on category, but I'm not completely sure we want to search on category in any case - if you want to see all games, there are categories in the app view.