No. Public DNS isn't even 1 decade old and Google already has massive insight from google analytics, adsense/adwords, the doubleclick network, android and store, chrome browser, chrome os, google search, google maps, gmail, youtube, google play, google fiber, google fi, google cloud platform, and all the various web properties that carry 1st-party cookies that easily get around Safari's misguided cookie war and have GDPR consent.
Trying to secretly sneak in some crappy DNS data is not worth it at all.