In Vienna there are everywhere, even old residential housing has the same style, some is damaged but still there, the City council here where I live a d the next 2 villages, the Old part of the school here and in the next village
City council isn't really a place where simple people used to be in the old times, these were the places where higher-status people were dwelling and working. That school might have been a private school in the past. Don't forget that this places being public and accessible to all the public now doesn't mean it was that way when they were built.
If what you're saying is true then I can only envy the people of Austria where this all was and is apparently 'für Volk'. Where I was born(Ukraine) and where I live now(Russia) this wasn't the case.
City halls, museums, libraries etc. Actually, wherever such grand staircases were built, the building was always to some extent available to the public (e.g. a royal palace where a ball was held)
Art is not about arguing and complaining about who is eligible to possess or have access to something. In fact, it often makes sense to restrict access to a work of high value. You can‘t open up everything to everybody - even if you sincerely wish so - unless you somehow make sure that everybody is able to recognize the high value of art and is cultivated enough to surpress the inner envy of not possessing a particular work of high value. It is hard to establish the right balance between providing access and restricting it. If you happen to be in Potsdam and Berlin feel free to visit what is left of the Prussian heritage - palaces, gardens, museums, villas, etc.
It's just the stairs though.
https://youtu.be/6rWDtJwKqGc
https://youtu.be/kveAOZfDA44
https://youtu.be/oZojOlM0KO4