apart from that [good] point
horses are usually vegetarian and their shite is fairly innocuous - even beneficial if you grow roses
dogs and cats are carnivores and their shite can, potentially, contain eggs of internal parasites or transmit diseases ...
sadly, the plastic pooper-scooper bags that get hung on bushes / fences etc are even more hazardous than the contents.
several dead deer / cows around here have been found to have blocked up their digestive systems with poop bags
[I go for "stick n flick" into bushes]