Way back in the 1990s, the word "Netizen" was coined. I always took it to mean "someone who lives on the Internet". In modern times, the neologism has been superseded with "webizen".
I find this an interesting development. It is well known that people often confused the Net with the Web. Hence the need for these "explanatory" t-shirts:
— W3C (@w3c) March 12, 2019
Of course, the original meaning of Netizen was something quite different.
Netizens are the people who actively contribute online towards the development of the Net and discuss the nature and role of this new communications medium.
Netizens are people who decide to devote time and effort into making the Net, this new part of our world, a better place.
Lurkers are not Netizens, and vanity home pages are not the work of Netizens. While lurking or trivial home pages do not harm the Net, they do not contribute either.
CMC Magazine - 1996
So, I suppose, Webizen makes more sense. The Web has won. Nearly everything on the 'Net uses HTTP to communicate. Ports 80 and 443 reign supreme.
Two thousand years ago, the proudest boast was civis romanus sum. Today, all free people, wherever they may live, are citizens of the Internet, and therefore, as a free man, I take pride in the words "Ich bin ein Webizen!"