Actually, all 3 are occuring outside of chatty and you can test that by either going on vanilla twitch or by building your own bot and having it request the current moderator list and such.
To check point 1 and 2, just look at tmi.twitch.tv/group/user/drdoomtastic/chatters for example.
To check point 3 you can just go on vanilla twitch and type /mods in my channel, it should show you multiple empty names.
All 3 are reproducable regardless of current program or extension.