Nope, Minato was attacked as well as Naruto:correct me if im wrong but minato wasnt attacked and or didnt he escape andf he didnt have sagemode enhancement.
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^^ take some time and notice how God of Tree is about to bind around Dark Kurama's avatar and Light Kurama's avatar. Minato still was able to get out only due to his FTG... not his BM godly speed as some will say. Yes, I believe SM played great part while Naruto was able to ressist longer then Minato who lost all chakra even although using FTG.. while Naruto lost kurama avatr but still was able to keep human Sage tailed beast mode look.