I get it, you all just say no because the idea is ridiculous to you and you don't want to accept anything new. Look here:
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That is young Konan using the Paper Style, proving that she didn't develop those techniques after he left. Jiraiya taught her ninjutsu, so it was obviously him who taught her those techniques - meaning he knows them himself. Unless you're claiming that Paper Style is a Kekkei Genkai.