I may be dumb, but I couldn't see how to search *just* the DesktopX Object gallery as it doesn't appear in the 'featured galleries' list when you use the search box/options.
So I looked at the URL wincustomize uses to search other galleries and found I could just tweak the URL to limit the search to DesktopX objects.
template: https://www.wincustomize.com/explore/[gallery name]/search/[search word]
Replace the [gallery name] and [search word] with what you want e.g.
https://www.wincustomize.com/explore/desktopx_objects/search/aero
will look for any uploads in the DesktopX objects gallery that contain the word aero.