Yes, @livinguktaiwan, the architecture of that building is remarkable. And, as you say, that would be the case for most any other state capital building as well. My mother, upon retiring, was proud of touring the mainland portion of America for two years and visiting all 48 of them ...
Less well known / understood, is how much the same idea applies to the County buildings in much of the United States. In my family history efforts (being a "mutt" American, in searching for clues about our "immigrant ancestors" ... 😉) over the years, I have been in a number of them. They can be in comparatively isolated corners of our great country and I have been awed more than once by what it must have taken in "time and treasure" to build them. Some of them are truly "masterpieces" ...
Oh yes ... Security in them would probably also make you cringe ... As a freedom-loving American, I have always been fine with it, as I had far too much experience (as one contrasting example ...) traveling by air and having to take my shoes off every time to get on the plane due to the FAILED attempt by some deranged Brit to try to blow up exactly ONE plane exactly ONE time ... 😒🤷♂️