Um if I am not mistaken he died in exactly the same way as Hiruzen. So by your faulty logic Hiruzen and Minato should be last. Which is ironic since you claim to use logic in your next post. I can't tell if serious or trolling.
Also Minato didn't even need to die, he chose to die and that is a fact. He could have done several things.
1.Let Kushina take the 9-tails into here as she died.
2.Seal half the 9-tails chakra into Naruto using the two four trigrams seals, and let Kushina take the other half.
But he chose to use the death reaper seal so that Naruto could see his mom in the future and because he wanted to be with his wife (which was a very selfish move on his part)