I am the author of the article. I have put a quick prototype to see how a game like this could be played from the web. And it is certainly possible. I used "ttyd" as a bridge from a shell program and show the output through websockets with apache. You can check the code in https://github.com/vejeta/conquer-web.

The game is playable through the web, with the original curses interface, you can login with your nation and play, but I want the experiment to be more "curated" by providing a proper login system, to avoid any kind of attack, although the process running conquer is in an isolated docker container. Also I want to provide the help system in the web, so people can learn to play without having to login into conquer first.

I will make it free, or anyone will be able to host their own instance. If you want to tinker, what I have it is already in https://github.com/vejeta/conquer-web