It does run multiplayer, that's sort of the whole point of the demo buuuut it was buggy :P (some people told me they couldn't play with friends) I'm going to upload a new version tomorrow that hopefully will fix the network issues!
Would you like to discuss that on discord? I've included a discord server link at the very beginning of the page - it would be easier to communicate that way.
Also, a new build is uploaded; I hope this will make multiplayer work... well, hopefully :)