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(i'm joking, it wasn't a big deal, also you get points for actually providing data, a save-game in this case, not many emailers do that)
I *think* it handles diagonals, as the formula pretty much "expands" the square defining the factory by one and then check if it intersects with a depot. Still, in practice, I'm not going to manually check, you can easily do that yourself on a test save-game.
Also, before another 4am email. The depot must accept whatever your factory is producing. If you have an adjacent depot which only accept stone next to a kitchen, it ain't going to work :)
Not 100% related but worth saying: diagonals are a bit of a special case. Generally, people can access buildings even if the only available adjacent tile is a diagonal, but they won't be able to path through a diagonal between 2 obstacles to get there. I just want to stress that out, because if you're asking me this kind of question, I'm sorta suspecting you're drawing a path finding nightmare for my peons :)
Cheers.
Its mostly trying to deal with corners of the room where if I put a 2x2 sq. storage in the corner and 2 benches off to the sides, now the container in the corner might not be accessible except by a corner of the right angle that forms.