Some of you fellas could PM amongst yourselves and decide which one might start a thread about strap width. Could be a lively subject thats beneficial to members. Take the time to compose a good, searchable topic title like I did for this thread, and ya did a good thing!
I just about gave up, thought nobody was actually hauling cargo around anymore.

. Could be! But not here I'm always hauling something.
When I need them I untangle them which takes a minute or two. Now your method looks to me like what might be called preemptive untangling. Have you compared the two methods (preemptive untangling vs post-tangle untangling) to see which one is faster? Either way I don't think I can reform.
A guy could have 4 straps, and always bundle two of them and toss the other two in a box, that way you could remain noncommittal to the method. Then try to keep track which type you reach for when its time to strap something.
I just went thru a streak where i was getting help from others and it was hopeless to organize, plus helpers don't seem to mind untangling. So I was always pulling them out of a tangle, and got awful tired of it too.
Don't forget the next part of untangling is untwisting the webbing so it lays flat. Note that if you just used a strap, it's probably flat. Folding while its flat preserves that flatness, so time is saved there too.
I guess you just have to try it. I used those stretch-cords (with a ball) and they worked well but whenever the stretchband was "somewhere else" I couldn't bundle, so just balled it up, and it got outta control. Also lost some stretchcords. It seems better if they can always be bundled without reliance upon aseparate item.