Does "works well" include handling group calls (or whatever Skype calls them)?
Yes but not in the Web version - currently only the Linux desktop version (with caveats). See https://support.skype.com/en/f... (Calling and call troubleshooting):
Does this fix the incoming group call issue I have on Skype for Linux today?
Yes, the problem with receiving incoming group calls is fixed in Skype for Linux Alpha. Make sure the people you're calling or receiving calls from are using the latest version of Skype.