I think it would be safe to assume the confusion is my fault, and not Stove's.I have not read the Stove link, but from the quotes provided it sounds like he mischaracterizes Hume and Popper.
I agree, and I don't think Stove argued otherwise. Assuming that by "logically valid" you mean "deductive." Stove agrees with Hume that induction can never be turned into deduction by any logical sleight-of-hand (indeed, he spends many turgid pages proving this).Hume's criticism of induction was not that it can lead to false conclusions, but that there is no logically valid basis for believing that any inductive conclusion is true.
His point, which he claimed Hume agreed with, was that accepting deduction as the only method of truth was unjustifiable. A result that I think anticipates Godel.