> It makes no sense to get a £80 vet bill on a chicken that cost £20.
This logic is confusing. You are taking a purely transactional view when it comes to the chicken’s health, but you also admitted they don’t turn a profit. In that vein, it makes no sense to get the £20 chicken in the first place.
Your utilitarian view is also the opposite of what the person you’re replying to is describing. Do you believe that if one gets a pet cat or dog for free from the street and they get sick, “it makes no sense to get an £X vet bill on a pet which was free”? And if not, what’s the difference? Neither is making you money.
It makes sense if someone likes chickens in general but doesn't care much about any individual chicken.
I think it is the distinction between "livestock" and "pets".
I would also be very surprised if any vets ever managed to treat a hen successfully. They tend to hide any illness until very sick.