That's not protection, and worse its giving you a false sense of security. I don't make my recommendations because I hate tech, but because (from a security posture) the attack surface is so large it is impossible to verify it cannot be used against you, and the consequences of that mistake are life-altering.
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A SIM merely says you are Authorized to use the network. The phone still makes connections to the cellular network. All phones on the market allow emergency calls even without a SIM card.
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Both your cellular chip and your WiFi chip broadcast their unique MAC address to every router/tower they see, and all of this information is logged.
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Just like a burner phone, police can get the location data from the carrier and towers, and use that to trace where that phone went. If you brought that phone near other devices, those devices or your own location can be deduced.
You see this over and over: Big Protest ➡ Police Geofence warrant ➡ Cell logs ➡ Arrests. Given the criminalization of protests this will become the norm. If you want to get rid of advertising, many of the suggestions here are fine. But none of them go far enough to protect you beyond that, even from Big Tech surveillance.
