The biggest problem with this I think is that it files in the face of the goals and incentives of all service providers. They want your personal data for marketing (not to mention engineering reasons like infrastructure optimizations), and they need your personal data because government.

Some commenters mentioned that you can still get burner SIMs in Europe, but last time I checked it was incredibly hard anywhere in the world (maybe I don't know where to look) - even in China they want your official documents to sell you a prepaid card. The reason I always been told, that sounds plausible to me, is that easy access to burner phones leads to too much mess with criminals using them for their criminal things, and with random pranksters calling in fake bomb alerts.