When asking a question, the first tag gets prepended to the title of a question page. I will be using a recent question of mine as an example.
I originally had this as the title of my question:
Heat vision goggles in The Expendables
I could not add the "the-expendables" tag because it was not created yet at the time I asked my question.
So the title of my question was:
action - Heat vision goggles in The Expendables - Movies & TV Stack Exchange
My question was then edited to the following:
What kind of heat vision goggles?
action - What kind of heat vision goggles? - Movies & TV Stack Exchange
I went to edit the tag ordering so that "the-expendables" was before "action" so that it would be "the expendables - What kind of heat vision goggles? - Movies & TV Stack Exchange" as the page title. This would be better for search engines to find. But when I saved my edit the ordering of the tags was the same and the title did not change.
I decided to delete the "action" tag, and that change did change the title.
Would it be better to remove relevant tags or to add the movie title back to the question title so that the question page is ranked higher for relevant queries in search engines? If neither of those are preferred solutions, I would like to request the feature of being able to better manually rearrange question tags.