We actually refer to licenses for vscode and csplugin at fedoraloves.net where we also mention that the MS built packages contain proprietary binaries. The wiki page itself is obsolete (and is referencing the dev portal, fedoraloves.net) so I'm not even sure what's in it... Anyway as far as I know the MS packages still contain the bits of the .NET Framework (the source of the omnisharp issues and confusion) and as such it can not possibly be released under any cute license and is under proprietary license as well, but there is no online reference to it.
Either way, all of the source code is open under MIT (with some stuff under apache or whatever, like documentation, etc) and as long as you or reliable source builds it the result will also be nice. (The question becomes whether you can build it, or not...)