The point is that since so many services require email it's getting to the point that not having an email is a major hurdle, and therefore government must recognize it as being part of critical infrastructure and provide this service, just as they do with USPS. IRS (US govt tax authority) requires email account to register and pay taxes. So that the state government, and the county where I live as well. My kids school requires email to register kids for school and for their many educational systems; so does their pediatrician office. Bank accounts require email. The list goes on. All of these cannot and should not be anonymous and I do not have any problems with using government-provided email provider to use these.
I do want to have an option to use other emails for my streaming accounts, shopping, and all the other stuff, so that I'm not required to use the same email address everywhere. I can rent my own domain name and use the email service tied top that.
I know the NSA can probably do it but at least it’s somewhat gated to that intelligence community. Opening it up further is a recipe for disaster.