Just because a phrase didn’t appear in either of these tools doesn’t mean there is no demand for it. There are other ways to confirm that someone is interested in this topic. And for the blog posts and articles that target the informational keyphrases, we aren’t necessarily looking for huge demand. Any visibility in search can make a big difference in the performance of a post.
However, this does not mean you cannot topple them. It just takes more of an effort in terms of content as your page has to build the trust. That is why you will see the "Google dance" happening for fresh content from a site that is not yet trusted or is not very authoritative. Google gives your page a chance and measures user click-throughs when it pushes you to certain spots in the SERPs and then measures user engagement levels when the traffic hit your site through those positions in the SERPs.