Yes, horse barns are a source of manure . . . but:
While I've never experienced this, there are numerous horror stories of people who received manure from animals fed with Round-Up resistant fodder (alfalfa, and other hays). Those herbicides passed right through the animal and right into their gardens. The result: they had all sorts of detrimental side effects for years.
Picloram, or grazon as it's sometimes marketed, is a weed killer marketed for use on grazing
land. It's been shown to hang around for a long long time. There are numerous stories of it being transferred through the
poop of horses to barns/stables where it is gathered for use in someone's garden. "Help yourself to as much manure as you want -- we muck the stalls and pile it up over there."
Monsanto now markets a Round-Up ready alfalfa. Unlike corn or soybeans, in a
hay field the stuff is sprayed directly on the end product. An ear of corn that grows after the field has been sprayed, and is conveniently covered by a husk, Round-Up ready alfalfa takes the full brunt of the spray. What's the half-life of Round-Up? Studies have tracked it showing up in products way down the production cycle, and again, that's when it's NOT sprayed on the end product. Even if it doesn't stunt the growth of my garden plants, knowing what we do now, I don't want those residues in my garden.
Even worse than horse poop laden with herbicides, if you are using hay as a mulch from a bale of sprayed hay, you're bringing that stuff directly into your garden.
If you get horse manure or any manure from a confined feeding facility where you cannot be sure of the source of their fodder, I'd compost it for at least 4 months in a passive (fungal dominated) pile.
One other thought: the digestive tract of a horse doesn't do a good job on weed seeds. Horse poop is basically a seed bomb waiting to go off. As long as the hay is relatively clean it's not a big problem, but if they get a lot of weed seeds in their fodder, that passes right through them and is ready to germinate.
Sorry to be such a wet blanket. I'm a poop optimist and a Back to Eden enthusiast. My solution: I bought
chickens and I park the
chicken tractor right over the top of the BTE mulch, moving it about every two weeks. I've got all the nitrogen I need now.