Suppose there was an inductively strong argument to the conclusion that induction is unjustified. What should we think of it? It seems paradoxical. If induction is justified, then we can infer from the argument that it isn't justified. But if induction isn't justified, then the argument's inference fails, so we can't attain the anti-inductive conclusion after all. At least, not via these means. But perhaps induction is unjustified on independent grounds, not related to this particular argument. I think that would have to be the case, in order to escape the paradox.
But that's an odd conclusion, isn't it? If faced by an inductively strong anti-inductive argument, we can deductively conclude that induction must be unjustified for some entirely different reason! The reasoning here is so convoluted, it's rather comical :)