I'm a bit perplexed by the comments suggesting the ducklings are crowded. I'll grant that more space wouldn't hurt, but I think it'd be a stretch to say that they're cramped at this age/size. I've made mistakes in the past and had too many in too small a space, with obvious results such as constantly damp bedding, dirty and damp ducklings, and general unthriftiness.
None of that applies here. Apart from the area immediately surrounding the waterer, which is more or less constantly damp (but which also gets frequent additions of dry wood chips), the bedding is dry. And the ducklings are clean and dry and downright chipper, until they seem to suddenly fall ill and die. They don't show signs of either overheating or chilling, but are spread about evenly like they should be. The heat source is two 250-watt bulbs, which is what I pretty much always do in late winter/early spring. Plenty of food and water trough space, with no crowding.
It's strange, too. I set up a second brooder and kept the lame ducklings in one while moving the seemingly-healthy ones into the other. In the space of a little over an hour, a handful of the "healthy" ducklings were lame or dead, while a couple of the "lame" ducklings were running around just fine (though a couple of them also died).
It's certainly possible that one or more feed ingredients is contaminated, though I would have expected less of a sudden onset of debility and death. Though the feed is wet, it isn't foul; rather, it smells pleasantly like good sourdough. There is no mold growing. (I've made the mistake of letting mold grow, in the past, though I scooped out and discarded what I could find. Even then, with the obvious presence of mold, there were no sudden or severe health effects like what's happening now.)
I finally drove into town to buy some Epsom salts to try a sort of flush, because I have no idea what else to try.