Should email be also run as a public service, not a business?
Maybe some amount of messaging connectivity, for a narrow set of cases like court summons and other official messages, could be run as a public service at the taxpayers' expense. But likely the bulk of it should be run as a paid service, either regular businesses, or/and non-profits that still are expected to break even.
Not just email but internet as a whole should be run like a public utility, electricity as well. It's US centric to think everything needs to be private.
It is unfortunately not all that US centric. Privatization of essential services is widespread in the EU as well.
Nobody I knows wants a Federal government provided internet service.
However municipalities should be allowed to, not forced to [or not].