Your configuration looks okay to me, the redirections are correctly set.
When I type in something, which yields no results, for example 'asdasdasd', I'm redirected to the results page: https://i.imgur.com/TAcdsBq.jpg
This seems to be correct to me as well. If you want to change this page layout, I'm afraid you will have to make changes in the current theme you are using (perhaps by creating a child theme). Usually the search.php file in the theme directory is handling these requests and generates the output, I recommend checking that.
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