I'm curious what your concern with Google building this 'shadow profile' is if you're not worried about this data being leaked to a malicious actor - Is Google simply having this data a bad thing, and if so, why?
Having a random developer create a shadow profile isn't the same.
The scale is vastly different and can be used to track you from site to site.
I can’t say I love having Google track me, but I don’t feel any better about someone else doing it either.
Why is Google security better than anyone else? Monopolies often have more resource, but lack motive, because they are a monopoly. Without transparency we have no idea how secure Google's systems are, but we do know Google has been hacked before.