At the risk of sounding contentious (and I despise folk who are contentious just for its own sake) I will advocate that my map viewing system is superior ;).

Let me see if I have your situation correct. (If not please advise and I may change my views accordingly) Tied off on the corners and hanging more or less vertically?

Your eyes have to focus down where mine are more direct as the relevant info on my map is often at or above my thwart line. A subtle but important distinction IMO. Especially since I am continually looking from map to shore. Just a glance is all that is required.......not even a slight tilt of the head.

The angle of viewing can be changed with my system just by adjusting its position in relation to the shock cord. A simple shove to or fro and I can achieve any viewing angle I desire at any given moment. Keep in mind the case adds rigidity. It never actually folds over on itself.

My method is both faster and more convenient. Time to change maps? Just grab the case and re-load. Want a real close look? Again just grab it and plop it in your face. I'm always looking at the map in camp.......just grab and go. On portages it is as simple as it gets to clip my case to a d ring on my pack and off I go. Sort of nice to be able to stand around at the end of the portage and have it in your hand and up close as well. Adjustments that are needed are often noted and performed then.

Well, have I convinced you? ;D

I know we all have our methods that work for us. I was speaking to those who perhaps are not satisfied with their map set-ups as much as I was to you Mr. DD  :-*.

I would like to see your set-up one day (Hint, Hint) Sounds interesting.