But letting arbitrary customers take arbitrary 3 level domains, and others take 2 level domains, seems like a mistake as it's not very reasonable for every 3LD customer to put the 2LD on the public suffix list, but mixing 3LD and 2LD registrations means you can't public suffix *.name.
Seems the whole idea of having both was always misguided.
This is a bug, not a feature.
The issue is that .jp registered outside of a few Japanese registrars are legally not allowed to offer Whois privacy.
But that was simply the easiest way to market your website as a trusted government entity. And now nobody has ever heard of .us domains in active use.
https://en.wikipedia.org/wiki/.us
But your point about them being rather longer and difficult to remember stands, and the same for a .gov, which could be shorter and catchier.
However amusingly, .us opened up second-level registrations 24 years ago, which means that any qualifying entity could have their name registered directly under .us, which is obviously recognizable, and also one character shorter, than a .gov registration. However, by that time, I believe that .gov had increased in stature so that registering governmental entities under .gov carried more certainty of conveying official status than anything under .us.
Also sadly, QR Codes and URL shorteners today sort of obviate the need to directly register the shortest possible domain name. I don't know: I was always kind of fond of the .us hierarchy, and I'm just personally sad that it's fading away.
.gov certainly cares a level of exclusionary access that isn't really true of .us. Only one entity, the US federal government, can decide to hand someone a .gov address. And generally there is few signals harder to fake or impersonate than one.
In reality, it wasn't that simple, and a lot of those .us domains looked like line noise.
Government sites are used to distribute public information. They need something they can print on a poster/sign. Not some bogus 'logical' hierarchy.
If anything the .gov, .mil and .edu being just American is confusing, as well plainly inappropriate (it feels like an American cultural imperialist thing to people from outside the US). It would have been much better if those had been retired decades ago and moved to under the .us TLD, so e.g. whatever.edu would become whatever.edu.us like every other country. Any existing domains on .gov, .mil, .edu etc. should only be allowed to exist as 301 redirects.
If .gov had been an international TLD that was at some point available to everyone, or had been created by everyone, ok. But .gov was created as part of the work the US government did to build out the initial DNS structure. It probably wasn't even a given at the time that arpanet would be international in nature
Also, 301 redirects are not a DNS thing, that is an HTTP thing. Not sure how that would solve your problem since HTTP is intrinsically at the base of it tied to just A or AAAA records. DNS does a lot more than pointing to websites