Tell me one situation where being able to appear in any empty square that isn't surrounded on all 8 sides by corpses or people allows you to go different places from being able to walk through walls and the borders of the map.

In fact, let me look at earlier maps and show you...
Let us please draw our attention to post 1289. Look around Fooruman. The square SE of him has several corpseless squares next to it. Check. By what I told you, Solstice should be able to appear next to Fooruman.
Let's look at it the technical way. Solstice could go NW NE E E SE SW to get next to Fooruman. Check. By what I just told you, Solstice should be able to appear next to Fooruman.

Let us please draw our attention to Rad's most recent post. Let us say for some reason Solstice wants to go to the square SW of ICE HYDRA. There is a corpseless square N of there. Check. Now, engine-wise, Solstice could go NE NW W W SW S S. Check.

Oh, and I am aware there are a few situations where the two don't work exactly the same, but those involve large numbers of people just happening to die in a 4 corpse by 4 corpse hollow square. There aren't enough people in this battle for that to happen without the battle ending.