Your last suggestion seemed to work!
But with that, when I search “d ring strap” from the homepage, the dropdown and the search results page both show 5 results. But when I open one of those products, and click on the 'd strap ring' link from the tags section, the tags results page comes up with 9 results. The 9 results are move relevant than the 5 in the dropdown/search results page, as one of those 5 doesn't even has “d ring strap' used as a tag.
Are there other settings I can make to show the same products for each instance?