Why would you be upset if your name+phone combo was leaked? Mine is all over internet so wonder why you feel it would be bad.
For me, phone numbers have had reduced importance over the last couple of years. Most of my communication with other people are over various messaging apps.
Using a phone _number_ to authenticate yourself against the government seems completely bizarre to me.
I understand that leakage of phone numbers become a problem if you use them for those kinds of things. But honestly, using them for authentication seems crazy from a security point of view.