There is no debate and it's not a matter of opinion. It may not be rocket science, but it is science: move the rear sight in the direction you want the shot to go. Generally, the front sight should be left alone.
What I do want to add is this: when sighting in, don't start from way back, start relatively close and get it on paper. I've burned up a lot of ammo starting way back and not even hitting the paper, therefore just guessing what direction to go. Just Monday I was sighting in a shotgun (slugs) for a friend. First shot, at 40 yards, was a dead miss. I immediately moved to within 15 yards so I could get on paper. Then, adjust and move back ten yards at a time. This sounds like common sense, but so does adjusting the sights, if you know what I mean.