fid02 of course Google has access to more info than other user apps.
For the play store, you need a Google account with an email. So they can already track you on one more level. So you have to organize your life around that accordingly, which creates one more risk level.
And with the play services, they also track you in different ways, including the notification metadata, etc.. (There is currently an ongoing US congressional inquiry since last month after some whistleblowers came forward about Google & Apple readily handing this notification metadata over to foreign governments). They know what you are doing, when you are doing it, etc...
Add 1 + 1 + 1 + 1 .... Why should we unnecessarily add another +1 so they can more easily get a more complete picture of our private life?