I don't think its necessarily offensive but it is pretty stupid.... Rather then putting a horse down simply because "You" cannot afford its care there is always the alternative of listing the horse in free ads online. Chances are very HIGH that someone will take the horse off your hands in under a week and then there is no need for it to be put down. I suppose if that was not an option then putting it down is far better then watching it starve to death in your back yard or turning the horse loose, which are both popular choices around here. But there are many people I know who take free, un wanted or pay good money to help underweight horses, so putting them down is ridiculous if it can be avoided.