This bug doesn't affect 1.8.1.2 as stated above, but the latest release isn't listed.

The commands /connect or /wsserver are listed in the command-list (available when typing "help 2" or "help 17") in the BDS terminal, but they don't seem to do anything.

As an OP'ed player on a server with cheats enabled, the commands don't even show up in the chat window. When trying to run the command(s) in-game anyway, a message appears that says:
"Unknown command: wsserver. Please check that the command exists and that you have permission to use it." (this happens regardless of typing /connect or /wsserver).

At this point I'm not sure if this even a bug or maybe intentional.

Being able to use Websockets on a server would be incredibly useful, especially for things that aren't achievable through the Scripting API (yet?), like getting the coordinates from players and displaying them on a clan website (for example) or creating Discord chatbots. However, I know this isn't the feature-request section !

Also, it is already implemented and works when using it in a singleplayer or LAN-Game, but just doesn't work on BDS hosted servers.