Have
chickens not ducks....but that doesn't look good to me. If they just started doing this (vs. being born with it) I don't think it could be a genetic foot problem.
Never heard of botulism in duck water but botulism is darn scary stuff. The toxin causes paralysis, in babies a mild dose is known as "floppy baby syndrome" since they get all floppy, and in high doses it paralyzes the body AND the lungs and the victim suffocates (unless put on a ventilator).
My next thought was Marek's but I don't think ducks are as susceptible (it causes paralysis and weird movement issues) and that doesn't look like the type of Marek's I have seen in my birds. That starts with a limp and gets more pronounced until they can't stand at all, and it is usually triggered by high stress or a very stressful event such as integrating with a flock and getting severely picked on, or an animal attacking the flock etc.... Has there been a high stress event?
To the op I would definitely be all over this until I had a definitive
answer as it seems like something that could get worse in a hurry. If this just started and is getting worse then toxins may be an issue, but I wouldn't expect a dietary deficiency to be the cause as that would likely come on a whole lot slower.