Nikosandros
Golden Procrastinator
It would seem that the best thing is simply to ignore the part in the DMG about the four lines blocked from every corner. We can just use the PHB ruling that you need LOE in order to target the square.
Thought this might help clear a few things up.
Doesn't number one in that picture only have cover since two lines still touch corners of the enemies square? Since lines that pass along the side of an obstacle like that count as "visible"?