It depends a lot on the government in question too. In the US very few people would trust the government to handle something like this. The certificate authority system is run by big tech companies and nonprofits, for example, not the government.

Trusting the government as a peer makes sense for government sites, but for anything else, it just makes censorship way too easy.

Even among businesses, we normally trust the middleman (the credit card issuer, and their protections and chargebacks) over the government. If a business screws over a regular consumer, the government isn't really going to do anything.

Maybe you have a more civilized society and functional government where you live. We don't.