I tried it just to see if it could be done once....
It worked. Got to have the asparagus just exactly the right flexibility though. I ended up wanting the "dome" firm so it didn't just sag on what I made it for so I pressed the "dome" into a sieve and deep fried it. What a pain in the neck (sputter, sputter) but I will say it was pretty. I took some really red young rhubarb stalks and shaved off some peelings then wove that in at the last moment too for color. Right up your alley, Richard.....really tedious but fabulous in the end. By the way, I served it as an appetizer and under the "dome" was a scallop mousse with two sauces and tiny rounds of lamb tenderloin with crisscrossed blanched baby snow peas. Don't ask for the recipes- it was years ago when I lived to make tortured food.
If you don't want a sag in your "dome" and don't want to deep fry then weave into a square or whatever "mat" shape and keep it flat. Still fabulous. You could weave half asparagus and half poached white fish strips over a sauce too- saw that in a book once.