sm Jiraiya is very immuned to tsukuyumi and i've got proof firstly we all know its quite difficult to use tsukuyumi on a perfect jinchuruki, and again we all know in sage mode jiraiya uses ma and pa so as to attain perfect sage mode, which means in sage mode jiraiya becomes a jinchuruki for ma and pa, though his bijuu might not have plenty chakra, but then in sage mode jiraiya automatically has three minds, his, Ma's and pa's which makes him totaly immune to tsukuyumi, though my explanation might be unclear bt its true.