In my humble opinion, Miss Bee is absolutely correct. Just because something can be done doesn't mean it should be done.
Meet Scout. Scout was a winter hatched chick - the only one of 15 eggs to hatch - under a first time broody. Scout tried to kill himself several times during his short life. He got out from under his Mom on Day 1 and couldn't find his way back. When I found him he was laying with his eyes closed, legs stretched out, neck extended, no breathing that I could detect, and so cold! But then I thought I detected something, a movement or a sound, I can't remember which. So I grabbed him, shoved him in my bra, and ran for the house yelling for Ken to rig the brooder. He revived. I then gave him back to Agatha, who was glad to see him, and for several days he did great. She was a pretty good mom, too, and had him out among the rest of the girls in no time.
Scout peeking out from under Mom.
Notice Scout's feet. Permanently damaged from freezing.
This was the result of getting his feet wet at the waterer. Nothing his broody Mom could have done to prevent it.
After the frostbite blisters healed, his feet did this. There had been so much damage that the ligaments curled and lost function. I tried bandaging them, bracing them, but nothing worked. The damage was too extensive.
What these photos don't show is all the work and time that went into saving this little stinker. Hot tub soaks in Epsom salts, honey and castor oil rubdowns, bandaging...... he couldn't walk on them, he walked on his hocks for the first several days. He had a nipple waterer in his crate but because he couldn't stand on his feet and reach the trigger, we had to trip it for him. He learned to get over to the waterer, then cheep loudly for water and we'd hit the button until he was satisfied. Couldn't put a regular waterer in there because damp bedding and open wounds is a sure fire invitation to infection. It was a long haul for him. He grew up, he did well, but his feet were always an issue.
From a personal standpoint, I will NEVER, EVER brood chicks in the wintertime again, especially under a first time broody. I"m in Northern Wyoming, and the week that Scout was injured, it had been in the 60s for days, then plummeted to -17 in 26 hours. You don't say where you live, so this might not be an issue for you. It's still plenty cold here in the springtime, but it's a far better time for me to brood chicks than in the dead of winter.