You mistakenly assume this feature which by default requests your google login for sync will be understood by users as this, when they open their browser and see "Log into google". Much more likely is that your casual user will think they're logging into Gmail.
This is a dark UX anti-pattern, using the same technique as a regular scammer or phishing site.
Google is absolutely, horrifyingly into evil territory here.
"I think hanging someone is worse than just giving them poison."
I don't particularly care about this spyware debate but I can't see how something bad being better than something else bad bears any relevance unless we are talking about choosing between two bad options.