The most cynical view is that she funds them specifically because it makes climate protestors look bad. They are radical in their methods and their targets seem to just be random spaces where there is a larger(but not too large) public density.

However the reality is probably more complicated. She might disagree with her grandfather and agree with their message, she might think that pulling funding would be worse PR than the few headlines that JSO generates, or she might not care one way or the other.