As a Dual British/Swedish Citizen, I really do not trust the UK government. They have proven over and over and over, that at every opportunity presented they will increase their own authority. I don’t believe I have personally witnessed any other advanced economy that so ardently marches towards authoritarianism.
So, no matter if it’s a good idea or not. I can’t in good faith advise the UK having more powers. Unfortunately the UK government themselves can sort of just grant themselves more power. So…
[0]: https://e-estonia.com/card-security-risk/
[1]: https://therecord.media/estonia-says-a-hacker-downloaded-286...
Most human-related problems around bootstrapping one's identity still remain the same and have to be solved. Electronic identity or not. (Also see the XKCD about the "wrench attack")
But a proper ID system gives a nation the opportunity to rely on elliptic curve cryptography and an EAL4+ SmartCard or SIM. Not on a pinky promise about identity based on knowing some number, some face pics or having a gas bill.
Verizon could still leak your hypothetical future e-SSN. But then it wouldn't be sufficient for identity theft or impersonating you in some places. That's not what would be an "identity" any more.