No experience, but I'd be hesitant to use a bead jack on a carbon rim. Puts a pretty good amount of force right on the edge, sounds like trouble.

They do indeed work with both carbon rims and tubeless tires, but like all tools, can be dangerous/damaging in the wrong hands.

You don't need to use a bead jack to break a carbon rim, after all.

For what it's worth, it isn't meant to be used to force a bead over the sidewall, but to aid in proper seating--you still need to pinch the beads into the center of the rim, etc, or you put quite high stress on the rim.

Var makes great bike tools

I can't think of any reason why the Kool-Stop bead jack wouldn't work with carbon fiber rims or tubeless tires.