Aside from having to use Google Apps for work, I do not use any Google services - that url you posted shows totally blank for me -, but I would be very surprised if Google uses their DNS to reconcile "passive" activity back to an individual user. that really seems quite over the line in terms of intrusiveness - is it confirmed they do do that with their DNS?

edit: to answer my own question, it looks like OP is misinformed, here is the (very explicit) privacy policy about their DNS service: https://developers.google.com/speed/public-dns/privacy

note that in the (wonderful) GDPR world, its very hard for Google to do a sleight of hand with this stuff and actually be doing anything mischievous.