We suggest that you open the Wrapped page in an incognito window, and make sure that you log in with the same credentials as the ones you use for the app. You may be logging in on another account.
Maybe you've let friends and family use your account? If so, it might've contributed to the stats. Keep in mind that some artists may disappear or re-appear from Spotify, or are only available in some countries, which would explain why you can't search for them.