[He could push Minato, force him to let Ami check him. But when Ami too agrees with him... He knows there's no point in arguing over it. He knows it. But he's still going to argue, Minato's wound is more serious and risky, isn't it?]

Minato's in worse shape! He has memory loss and problems with balance, he hit his head, isn't he more urgent? I know he will take more time but making him wait may make things worse!

[Minato is the one who is more hurt. The one who's in even higher danger. So why does he have to be first and make Minato wait? Is he the only one here that worries over Minato getting worse in a matter of minutes?]