Depends a lot on the country you live in. In most European countries "carrying an ID" is legally required if the police stops you anyway (they do need a reason to see it though), so "show an ID at the entrance" is no big deal.
It's to my understanding mainly the US where ID requirements are often side eyed because many people don't have them and there's no national standard (and due to a variety of political reasons there probably won't ever be any.)
What the hell kind of draconian country forces you to always have an id on you? What if I go running with only my watch on (I’ve regularly done this with no malicious intent)
In my home country (Hungary) it is mandatory if you leave your home more than 500 meters and as far as I know, most European countries have similar rules.
It's to my understanding mainly the US where ID requirements are often side eyed because many people don't have them and there's no national standard (and due to a variety of political reasons there probably won't ever be any.)