Lane keeping assist likely (a) shares data back to Rivian, and (b) depends on GPS and (live) map data to know location specific settings.. that there are 4 lanes on this road and the left 2 lead somewhere else (etc). Line detection (on-device) isn't always reliable (snow, rain, ice, mud, gravel, construction)
And at least the object-on-road feature is one I'm glad they have. I once saw a truck ahead of me in my lane suddenly swerve hard onto the shoulder, which alerted me to danger. (The truck driver remained in control of the truck, thankfully). And there was a wooden pallet lying squarely in the right lane of the highway. I avoided it by moving into the left lane, then once I spotted a mile marker I pulled over and called 911 to report the traffic hazard. About ten minutes later, as I was driving on, I saw a police car on the opposite side of the highway, heading towards where I had reported the pallet on the highway. No way of knowing whether that car was the one responding to my call, but the timing suggests it was. Hopefully nobody had an accident before the pallet got cleared away. These days Google Maps would be able to alert people to the hazard before they got close, so nobody will be in the situation I was where the vehicle in front of them blocked their view of the hazard until they were quite close.
Long story short (yeah, yeah, I know: "too late"), some Internet-required features of modern navigation are ones I'm glad they have.
My phone can pre-download maps into Google Maps for offline use, I've done this in foreign countries where I didn't necessarily have full data connection. There's no reason you couldn't cache the necessary maps on the car's navigation system and let it operate based on that and an incoming GPS signal, never emitting out one bit.
OTOH, if you wanted live data, dynamic routing etc. for your convenience you could explicitly turn data on but then you'd acknowledge it comes with the caveats such as potential snooping of telemetry data.
Admittedly, I would never trust a car manufacturer to actually disable telemetry no matter what they'd promise. So, disconnecting the antennae would be the only reliable method regardless. I wonder if there will ever be a car with a physical radio kill switch like laptops.