Oh so Sasuke, who wanted the 8 tails, wanted it because he couldn't break genjutsu? Doesn't matter if he didn't get it, fact is he did want it for it's power just like most people. Obito and Madara, both who shown to have strong genjutsu, were jinchuurikis, did they suck at genjutsu? Naruto wasn't great at chakra control due to the large chakra of Kurama as Kakashi said in part one
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so Jinchuurikis would have a tougher time to properly breakout on their own unless they master the use of all that chakra which Naruto didn't have in part one but did have with Kurama in KM/BM/BSM.
Naruto (Pein arc), Jiraiya and Kabuto can't maintain SM for long either. Naruto needed to use his clones, Jiraiya needed to fuse with Ma and Pa and Kabuto needs his snake to remain still. Chakra control is easier without a Bijuu so that alone would make your claim invalid. Minato has great chakra control to be able to split Kurama's chakra into yin and yang chakra, able to create the Rasengan which is all chakra control and is said to be extremely advance shape manipulation (stated by Kakashi) and his normal one is larger than Naruto's and Jiraiya's normal rasengans. He's also able to transfer chakra as Kurama stated.
Obito controlled Kurama with just a 3 tomoes sharingan when Itachi stated the tablet said you need MS to do so. Of course Obito has Senju DNA powerup but Madara did the same as well before he had Senju DNA and Madara trained Obito. Obito knows Minato's is a speedster so why would he reply on Kamui instead of using fire jutsus, wood jutsus or genjutsus? Because he knows they wouldn't work. Manga even says the sharingan's weakness is speed as Lee said here
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and A
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. So genjutsu is a non-factor since they'll be more focused on trying to read Minato's moves and try to react to him.