Unless you are roaming I believe the cell phone provider has this data no matter what phone or software you use. If your SIM and IMEI is KYC'd they will know who you are.

To my knowledge there is no way to have a working cell phone where the cell tower does not know your IMEI

So, if you want to avoid these dragnets you should buy a pixel with cash, no KYC. Buy an eSim from https://silent.link/ anonymously.

But even then, if you have patterns like using that phone at home, taking it with you to work or when you go out. Your patterns will connect you to your address. Which for most people is know by authories if not public.

It is possible to not expose yourself but very inconvenient.