The remaining arguments are more likely to be accepted or rejected based on what you know conclusion is. So instead of asking "is this true", people will start either with "I am looking for nitpick cause I see this is going toward bad conclusion" or with "yeah sure, it shows what I think".
However, they will still feel like they evaluated arguments on merit. If the conclusion is last, people can and some will go back to arguments to bias them, but it is easier to see what they are doing.
By articulating the reasons, methods, and considerations that went into a decision, you're slowly and softly building an argument. Individuals are less likely to have an instinctive reaction to something this way. At the very least, it's proven (yes, as in measured) to be the case here.
It's like having an abstract or a blurb to briefly summarize for management.
Similarly, if you need someone to take action based on the result, you don't put it at the end where nobody's going to read it. You put it at the beginning, first thing, and then build up the background.
I would like to understand why the reverse is "jumping the gun". I am assuming the arguments have not changed, the reasoning remains the same. Why is a mere change of order "jumping the gun"?