The point isn't control. Having short names complicates things and makes it much harder to be permissionless and censorship resistance. Because it requires some mechanism to decide who owns what, and that boils down to either central authority, or a consortium, or miners of a block chain.

So, no, not only is Pkarr not like zeronet, we don't even encourage vanity addresses, we want keys to be like phone numbers, you own it, people alias it, and everyone is sovereign and happy.