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I think newborn chicks have that problem. The ones I had who did that were just borns put together with day olds. Under the heat lamp they just used to lay down and flap their way around or fall over backwards when they tried to stand up and run around with the older ones. They were the ones I took out the day they hatched, along with the ones I had left in to finish hatching who had no problem walking but were almost a day older. I have never seen one under a broody because they usually stay under until they figure out how to walk and push up for heat. People have said when they use the contact heaters for their brooders their chicks get over that very quickly - they need to push up to keep warm there too and it gives them an incentive to figure out how things work. The teacup is to teach them how to use their legs, because they need to stand up to see out of it. I wouldn't use it with broodies - she would probably just knock it over - perhaps on top of him or another chick.. not so good.
I don't think she will kill him, and I would take the hobbles off because I have noticed that chicks and chickens alike will peck at something that doesn't belong on other chicks/chickens. My chicks even pecked on other chicks toes for awhile, just because. Since it isn't splay leg I don't think the hobbles will do anything. Just keep tucking him back under momma until he gets the hang of it.
Your other chicks look older, so with the staggered hatching you might not have seen them when they didn't walk right - they would have stayed under momma and slept Now that the others are out the little one wants to come out to play too - but I would guess it just hasn't gotten the hang of walking quite yet. I saw one just after it hatched that momma kept tucking back under her when it tried to come out. The others hadn't hatched so it stayed under until it figured out the walking thing too.