You did get me there.
On the other hand, you can make identification difficult.
Use a root app that disables all network hardware while the device is locked, and randomize your MAC on public networks. Also use a carrier (if available) that purports to be ethical.
There are various issues with my statements: your SIM identifies you, there are ways to identify people across different networks even if their MAC is randomized, and even "ethical" carriers still use towers from other providers, which can of course triangulate your position.
That said though, if you take the proper precautions using a smart phone would be no worse than a flip phone.
Unfortunately I got it at a thrift shop and there are no stickers. Googling for "pulley lamp" shows me one that looks very similar: "Carbon Loft Tirith Industrial Farmhouse Table Lamp with Pulley System"