A very interesting link, I hope that everyone goes and reads it.
I had peppers falling over last year, it just grew the peppers too heavy on one side, and when it fell, I noticed the roots on one side were weaker than on the other, and mounded the dirt. So, perhaps it is more wide spread than we imagine? That was not a very rich bed that it was growing in, last year, so perhaps it was nutrient problem. It sure wasn't lack of water trouble, all it did was rain!
I have also heard of folks having plants fall from rain, just saturating the soil until it had no strength to hold the plants in place.
Has it been raining alot? Where they are planted, would you call the soil fertile, or mediocre or worse? It almost sounds like corn would do well grown like potatoes, just keep piling the dirt up?
I have had corn fall, it was too tall and leggy, and then the wind got it, but the whole group fell not one here and there!
Talk to your plants.... If your plants talk to you... Run!