[Sean Raia]

I don't think 24 hours of sleep deprivation is TOO much for most who are involved in FRC (exceptions apply for older mentors).
You want to feel like crap? Stay up for 20 hours straight, get 4 hours of sleep, and then wake up.
If someone is incapable of safely operating a tool/robot, it will show. A team can simply have someone else do it.

I would be concerned most about the irritability of everyone involved. Most competitions get MORE fun as the day progresses, this one would likely suffer the opposite effect. Unless it was managed so as to keep the atmosphere consistently energetic.