I would like to point out that I started a thread (not as popular as this one
) that looks at issues of search and domains in general. Welcome more views there.
https://www.namepros.com/threads/domains-and-searches.1131570/
My view is that Google search results without quotes give an idea of how common the terms are. That does not necessarily directly relate to value, but it is an indication that the terms are popular on the web and therefore there are potential users in theory. Note that it also does not take into account how speculated the term already is by domain investors, an important point re value.
When we look for the word in quotes the search is on EXACTLY that phrase. While that is worth looking at, that is not directly an indication of value either. This is particularly so because the SEO experts who have contributed to the thread linked above point out that Google (in searches without the quotes) uses AI to search for intention, rather than exact words. i.e. if I search on good domain they would use other words similar to good and also the plural domains in considering what to present me with. When I use quote marks though it does not do this and gives only that exact phrase. That is not what most searchers will do and should not be the only metric you look at.
Bob