In the Vault, if you search with the Search tab selected in the left pane, you will get the filtered results. This also gives you a search term entry box almost the full screen width titled Generic Search.
One caveat to this is that it takes a long time for the Search tab to return your first results. I now leave it open 24/7 and am peacefully coexisting, actually happy with the search results, of the Vault.
If you search with the upper right search box as you've shown, you'll get a lot of irrelevant content. I have not looked into the cause of it.