To be fair, Minato was extremely tired and almost out of chakra at that point. He was not in a state to even try and endure such a thing. (Not saying he could even if he was, though.)
He just mentioned that the Kyuubi chakra itself was what bothered him. His body simply could not handle it.
I doubt that having more of his regular chakra would assist in this. He wasn't as compatible as his son or wife. Naruto was on his death bed and was fine after receiving Kurama's chakra during the war arc.
Not like it matters much, though. W/o BM or KCM when he's alive, he's still top ten when excluding Kaguya and her family. Lol He's still powerful.
OT: Everyone has their own type of judgement when it comes to these things. Some feel like certain situations can be ''forgiven'' or ''rationalized'' simply because they want them to be.
Basically this. Lol
I agree with this.