It takes time from report until twitch reaction (if they react)
So this is not the one&only solution for you. U’r right you should also report this users, but as first solution u want to have this user outside of all communitys u moderate.
And also for normal users it’s important to know “i have to be a good boy, otherwise I got banned on more channels - maybe a lot of channels” 
As I can see, this helps at the moment very good.
To the example with the bot accounts.
U’r right, but this is not what my tool should do.
There are a lots of puplic bot account databases available with more than 13 billion accounts. If you like to ban this (i guess this is not a war u can win), take this databases and ban all accounts u don’t like
As I said, this is not part of my tool.
If there is no way possible and no chance to get this feature, then I have to use my other way to realize it.
I guess crossban discrod servers where user post staff like “!ban username reaseon” is a bit oldscool, but I know people they use this kind of solution…