I've never really read too much into the running order, although it is certainly a factor. I am however surprised to see France, Lithuania, Holland, UK and Ireland in the draw positions they are. We'll find out in a few hours though what's gonna happen.
I do think they need to go back to a random draw. My complaint isn't that it is corrupt or biased this year (I don't see any evidence that myself) but that it opens up another avenue of criticism and controversy (which is the last thing the ESC needs), is open to corruption in the future and has little in the way of transparency.
Wherever Denmark were drawn there always were going to be accusations of the draw being fixed. I've no problem with their position. Somebody had to 18th. Best thing to do for those who are upset about this is too hope EBU see's sense and reverts to a random draw next year, I really hope they do personally. (Perhaps a massive letter writing campaign or online petition might help).