Is it really true that once they go broody they will never lay eggs again?
They will quit laying till they have the broody spell out of their systems, not never again. They quit while sitting and raising chicks, though some start back laying when the chicks are a couple of weeks old. Last broody quit laying for six months, but she's laying again now.
Sleeping in nests is a bad habit and I have some who just recently started doing that, even though they didn't for the first couple years of their lives. Not a good thing at all, but DH wasn't diligent about removing them every night.
Not all hens go broody so your others may never do that.
They will quit laying till they have the broody spell out of their systems, not never again. They quit while sitting and raising chicks, though some start back laying when the chicks are a couple of weeks old. Last broody quit laying for six months, but she's laying again now.
Sleeping in nests is a bad habit and I have some who just recently started doing that, even though they didn't for the first couple years of their lives. Not a good thing at all, but DH wasn't diligent about removing them every night.

Not all hens go broody so your others may never do that.