I always thought that walking helps digestion. Same with humans.
Moving around can help break up and move gas pockets, but that's not 'digestion.'A certain amount of movement assists peristalsis, but then, so does eating or especially drinking warm things. Move enough to get adrenaline involved, and you can even trigger a sort of "emptying out" effect (ever notice that you seem to need to make lots of trips to the bathroom when you are nervous?)
A horse that eats grass/hay, but shows little interest in grain, that bites or kicks at its belly and lies around looking sorry for itelf, may have ulcers, in which case dragging it around all over the pasture can't possibly do any good.
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