With a stock, store bought android rom with google play services and such?
It might help anonymize your device.
If you sign into a network regularly that you use with devices you sign into google with, or a network google associates you.with, they might correlate you with the device.
If you follow your normal routine of locations, browsing or other behaviour google is aware of, google may associate the device with what it knows about you.
It’s kind of hard to say though, Google’s data collection is somewhat opaque in regards to things it collects to associate you to other things.
I have noticed a few occasions where google has given me suggestions or ads based on searches i’ve made or on devices that I’m not signed into or associated me with data available only from such devices, other times not.
This is just anecdotal though so make of it what you will.