If your moat is “please don’t copy my outputs”, you don’t have a moat. There is no such thing as a distillation “attack”.
Model outputs don't qualify for copyright. They aren’t patented. They aren’t trade secrets - the companies sell them. They aren’t trademarks, obviously. They are nothing, actually.
(and if you argue the US models do produce copyrighted works, then oooops - whose copyright is it huh?)
Don't even try to combine it with any notion of "leadership" then, however, since distillation is literally "copying the actual leader"