A well bred EL should NOT have fragile ears. Period.
As a whole, ELs are extremely good at staying out of their own way and can play quite well without stepping on or tripping over themselves. (You should see one of my does run around the basement with her ears flapping behind her like banners in the wind! Too stinkin' cute!) In the event that they do step on themselves, their ears should be of an adequate texture and thickness to prevent nicks or tears. My very best buck has a 26" ear span at 6 months old and his ears are comparable to the thickness of my beagle's. I don't have any calipers on hand, but I'd guess that they're just under 1/8" at the tips, and maybe even a little over 1/8" nearer to the skull.
I'm the kind of person who appreciates the judicious use of crossbreeding if it has a purpose. For example, I have found some bloodlines to have incredible ear length, but to be a bit lacking in terms of bone density. I've crossed those lines with Flemish Giants (gasp!) to improve the thickness of bone in their kits. Sure, I have to do a little work to get back to showable ears and a full pedigree, but it's totally worth it to me to have stout, structurally correct rabbits. Maybe it's just that I've always put health over a "pure" heredity, but I don't understand why anyone wouldn't want to make an educated outcross with their animals if it means having better stock in the long-run.