I personally can't see how anyone can say it's so wrong, or that it's not natural. In nature, if a flock of chickens came across some roadkill, they would eat it, just as nature intended. Chickens are scavengers whether we like to think so or not. Whenever I go into the run to do some maintenance, there are always about a dozen geckos hanging out, which I then swipe of the walls. As fast as what they are, not one has ever escaped the chickens. Free protein, and exceptionally good for the birds.
Having said all that, I do think I would be a bit hesitant when it comes to rodents, but that's just because I see them as being dirty creatures. Of course a squirrel is not a rat, and in my mind, it's a far cleaner animal than a rat, but I suppose there may be some risk of spreading disease, but a very small risk at best.
A clip taken from eMedTV:-
Rabies and Squirrels: An Overview
Squirrels are almost never found to be infected with the rabies virus. Squirrels also have not been known to cause rabies in humans within the United States. Bites from a squirrel are not considered a risk for rabies unless the animal was sick or behaving in an unusual manner, and rabies is widespread in the area.
In all cases regarding rabies and squirrels, consult the state or local health department before making a decision to begin rabies treatment.
What About Rabies in Other Rodents?
Besides squirrels, other small rodents (such as rats, mice, hamsters, guinea pigs, gerbils, and chipmunks,) and lagomorphs (such as rabbits and hares) are almost never found to be infected with rabies and have also not been known to cause rabies among humans in the United States.