However the TS stuff - certainly from Schwalbe- is much more robust and can withstand the kind of skill deficit obstacle clattering that will kill a non TS tyre by ripping and pinching its sidewalls.
Possibly - schwalbes stuff doesn't seem any tougher than the normal rubber I've used, but I've got some vittoria TS xgs that look like they will need an almighty scrap to get on an Iron cross rim.
You don't need tubeless specific CX rubber.
However the TS stuff - certainly from Schwalbe- is much more robust and can withstand the kind of skill deficit obstacle clattering that will kill a non TS tyre by ripping and pinching its sidewalls.