An interesting topic... but since virtually all alfalfa grown commercially here is now GM, I have little interest in trying those. Only a few wild alfalfa escapees here & there, where old farm fields have returned to the wild; I've always loved those blue flowers. Although I've never sampled alfalfa, I've added clover to salads & often snack on the first Spring clover blossoms. I'll follow this thread with interest.
That was one of the biggest surprises I noticed when I started actually looking at alfalfa plants; how many colors the flowers come in. Around here, most of the alfalfa I see has pale lavender or white flowers. I think I've only seen bright blue once, by a fencepost near a farm somewhere between Ithaca and Geneva, NY (when it mentioned it later to the people who had been driving with me, they actually said they had wished I had mentioned it when I saw it, as they would have stopped and taken samples, so it may be unusual even to people other than me in this area.)
It's isn't really eating, but there is another alfalfa which I wish I could use. When I used to go through Indian coriander a lot, one thing I would find a lot of were pods of the wild alfalfa
Medicago muricoleptis. Personally, I always did (and still do) think those pods were extremely beautiful (they have the same coiled shape as domestic alfalfa, but flatter, with veins on the sides of the pods, and with a fringe of spikes on the edges, so they look like little seashells*). I've often thought that, if I could cast those pods in metal, they would make wonderful accents for jewelry. Oh and the flowers of that one are yellow.
*in fact, when I first found it, I thought what I had found was
Medicago murex, since that was the kind of sea shell it resembled. Then I saw a picture of
M. murex and realized it was different (it has sort of a coiled beehive shaped pod.)