Looking for Unfiltered, Unbiased Search Engine Results? Google May Not Be Your Best Choice
The moment you use some search engines, they're gathering information about what you like, what you search for and what they think you want to see. Search engines show completely different results to different users, based upon their past search and browsing habits.
Simply put, when you use Google search to track how your own websites are doing, that search is biased, based upon your past search habits. Google shows you results that are influenced by your own past searches. They're telling you what you want to hear (or more precisely, what you want to see).
It's not easy to turn off this feature in Google search. Some tech experts say it's becoming impossible. There's too much money in Google's search "bubble" approach for them to make it easy.
Given all the filtering that's going on at Google when you run a search to determine the popularity of your own website(s), you just can't rely on the results you get.
If you truly want to see where your sites are showing up in searches by the public, Google may not be your best choice for a search engine.
Your best alternative may be a "semantic" search engine which doesn't track your prior search habits and doesn't filter the results you see.
Check out duckduckgo.com for example. This site boasts better privacy than Google, coupled with search results that are unbiased and unfiltered.