Anyone who believes that Jiraiya lasts more than a minute against war-arc Sakura is a majorly desperate Jiraiya wanker. In order to enter SM, I mean, it only takes him forever. He has no decent speed feats. Sakura ran under Kaguya's chakra arm for sometime before being recused. That is more than Jiariya can even dream of accomplishing. He ain't blitzing when he was struggling against grunt-paths. The only path he kicked was Human path and that literally ran into him. The second Ashura (a faster path) appeared, he tore him another hole (pun intended).
Frog Song literally worked at point blank range, after he obscured the visions of two paths and stuck one to the roof of the pipes. Even that took ages and all the paths heard the frogs' sing. It isn't even a secret and sudden tech. The Sage Frogs were out of commission during that time and it takes a lot of Sage Chakra from them. They were basically done after that.
Sakura can easily take on a summon like Tsunade did. I mean, look at that strength. Any logical person won't give this win to that washed-up, half-backed Sage.