I don't fully agree with you but anyway, it was just an opinion.
"Do you think 1-1-1-1 is too simple? Do you care about realism? Are your DM a tyrannic min/maxer? So here we have a nice fix for you, use 1-2-1-2 diagonal movement!"
We are talking a lot about diagonal rooms and DM making it harder/easier for players. I still think it's about player minmaxing too, let me bring back the point from page 3:
Blue = Wizard or Ranger
Green = Fighter (defender)
X = monster
I've heard the following counter-point: "Squares are abstract, in the second diagram the blue dot IS farther from X monster so it 'makes sense' it needs more movement to reach it".
But that point is irrelevant because, farther or not, in both situations the Blue dot, let's say it's a ranger, COULD Point Blank Shot the X monster, but depending on how the characters position themselves on the grid (by normal movement, and not grid-rotation), the X monster could reach the ranger in 1 round or in 2 rounds.
BTW in the second diagram, the X monster even by provoking AoO from the green dot wouldn't reach the Blue dot. If the green dot was just a hole on the ground the X monster wouldn't reach the Blue dot too. (Of course it could jump the hole, or fall in it)
In the first diagram the X monster can do it without provoking any AoO at all, nor It would have to care about jumping the hole.
That's a lot of inconsistence.
[TANGENT]What about another diagram, not to prove anything, just for fun, really:
The X monster is already attacking the Blue dot. On its round it uses a withdraw (move action) around the defender. Readies a charge when another monster heals him, gives a hearty hello to the defender, gets healed and then charge (don't need to be in a straight line anymore) the Blue dot again. It's a corner case, but could happen, let's say the Fighter is fighting another monster while the X monster do that. If the Monster "leader" turn is right after the X monster's turn he could do it...
I really hope the rules don't allow us to do things like that, like readying a charge, but who knows?[/TANGENT]