> provided direct verification in Google Search Console and Google Analytics Yes, it allows you to easily verify you own your domain: in both Search Console an

> provided direct verification in Google Search Console and Google Analytics Yes, it allows you to easily verify you own your domain: in both Search Console and Analytics. Doesn't mean they'd automatically add analytics to your site. How would they do that? If you point the DNS record to your server, the visitors call your server, not Google's. They can't just MiTM it.