Fair point, but a general objection to privately owned TLD's is not what is being argued in this case.

No, but it is being argued that it’s different/more significant than a standard domain.

Why would Amazonian nations care about Amazon.com? It’s a company called amazon on a commercial TLD. They aren’t even commercial entities.

As a TLD it offers a much more broad use.

This is increasingly less tru as TLD's like .amazon are being given out. There's no reason that a or b in format a.b is more important, other than the fact that the arbitrary convention exists that a can be anything but b can only be one of a few choices.

.amazon is also a commercial TLD if AMZN buys it.

It's a top level domain, not one in the .com namespace.

A top level domain used for commercial purposes is in fact a commercial TLD. It's not the commercial TLD, but it is "a commercial TLD".