And the SIM card? What. Is the SIM card RFID also?
Just for the additional on that, RFID has a very short range, maybe five feet optimal. Which would be claimed as ten feet, because that's a radius not a distance. Kind of like measuring a screen on the diagonal to make it sound bigger.

Let me make this clear. If you pull the battery, there's nothing to track. You don't need to remove the SIM card as well.
I stopped wearing a wrist watch sometime in the 70s. I kept breaking them. Last one destroyed on my forehead + six stitches, diving into a lake. Since then pocket watch or just use my inner time. There are also clocks in devices, cars, on walls and pretty much everywhere, except Las Vegas.
Buck Rodgers, Dick Tracy, whatever. It's a nice expensive iToy.
And the only way to not be tracked or listened to if you have a cell phone of any type is to remove the battery and the SIM card.
This too has been known about and going on for years and years.