Should I cull my week old quail chick with a slipped tendon?

I hatched several quail on the 16th of April. One hatched and his legs stuck out backwards (the legs weren't backwards - they just stuck out behind him). They seemed to be getting better, as one leg went back to normal and he walked on his hock on his other leg. Several days later, it isn't better. I looked it up, and he definitely has a slipped tendon. I tried for a while to slip it back by both pulling his leg back, and trying to rub/push it into place. In the end, all we ended up with was a little bit of blood coming out of his hock and no progress.

It sounds like there is no way to cure this unless you start treatment soon enough, and I'm several days late. He can walk around, but easily gets pushed down and smothered by the other chicks (they are twice his size now - another reason I'm worried). I am not keeping these chicks - I'll be moving off to college either this fall, or possibly this summer - so I need to rehome them all. I'm not sure I can find a good home for him. But maybe if he will be okay - just limping - I'll find a kind soul somewhere.

Does he need to be culled? Or can he live a happy life even with a slipped tendon?
Here are some pictures.

Bump? He seems to be doing fine, eating and drinking and walking. He has a limp, but he is able to walk. The others do push him down a bit. But overall, he's getting along fine.