I promise you, most public institutions are capable of hosting a web site or running a bluesky account
They choose not to because no one uses them. To get views for political purposes you have to use social media like blue sky and the fediverse
Why should public institutions be trying to get views for political purposes? Isn't that directly contrary to the intended role of public institutions in a democracy?
Because they want to win the next election? Corruption basically.
Bingo. It's not the "institutions" doing it, it's whichever elected officials we're trusting to run it at the time abusing their positions.
We are talking about organizations here who are communicating with the public.