Depends on whats wrong with the bird.
If its suffering..its culled RIGHT away... we dont wait to let it suffer and linger in pain.
We use the broomstick method...
But i DID bring my favorite rooster to the vets for bumble foot... soo... depends on the situation and if i have any money.
My geese...will ALWAYS go to a vet... even to be put down. They are just to big... and i dont feel comfortable that i could cull them humanely... so.. they will go to the vets.
I haven't had to deal with this yet. I would treat it as well as I could. I doubt I would take it to a vet, although I have a few favorites that I might in some situations. If I thought it was in bad pain and likely untreatable I would cull it.
I would cull for illness or injury. It is survival of the fittest here. I do not have extra pens or cages to take care of sick or injured chickens. I do not treat splay leg chicks, crooked or curled toes, and do not "fix" slipped tendons (though I did try that once, unsuccessfully). No crippled or sick chickens here. I had a cross beaked chick, which I did not notice for quite some time. I cull for that too. I do treat for cocci in chicks, and I worm twice a year. I also dust for mites or lice. Though I love my chickens immensely, I don't consider them pets. I consider them a hobby, I guess. Never say never, but I don't plan to ever take a chicken to a vet. If I thought I had an illness in my flock I would call the state to check it out, so I would know what it was.