I'm trying to think of all the things the car could NOT do if you succeed.
Definitely down:
No navigation system.
No routing to Chargers.
No battery preconditioning.
No Bluelink.
No emergency contact via Bluelink
No OTA updates (Not that this would matter, since nothing would work for the update to update).
No Traffic Data
No Weather data
Questionable:
No clock, so:
No at home charging schedule.
Bluetooth connection of phone???
Bluetooth connection to tires???
Plus - if you're carrying a cellphone, "they" can track all of the stuff you're worried about the car company tracking anyway - PLUS, all of your contacts, texts, etc.
Sure, data security is an issue - but I see it the same as microplastics... nothing I can do about it, so why worry?