Yes I have, but that's just one personal experience. My frustration with your proposal stems from the general trend of government monopoly making for sticky and byzantine bureaucracies.
For all the warts of private services, there's alternatives available, and the journalists & public opinion don't side with them by default - but rather with the user.
Wondering what kind of experience it is. I hope you're not one of the refugees on the Belarus/Poland border where both governments are pushing and shoving them around as if they were hot potatoes.
What you described above, about doing paperwork, has one trait: those government institutions live by the book and die by the book. A frustrated official may act against you as long as regulations permit him, but you can use just the same regulations against him right back. I mean if you live in a democracy, even a shitty one.
There are, though, no restraints whatsoever on what a private company may do, and entrusting them with that much of one's life is foolish. Because you don't even get to see the rulebook, like, ever. Employees reading your private messages daily? Well boo hoo, cry me a river, and it's probably in one of those ToS amendmends you agree to or else get booted out.
For all the warts of private services, there's alternatives available, and the journalists & public opinion don't side with them by default - but rather with the user.