Many statutes limit the liability of parade organizers "unless said loss or damage was caused by the deliberate and wanton act or gross negligence of the organization."
R.S. 9 §2796. Limitation of liability for loss connected with Mardi Gras parades and festivities; fair and festival parades
R.S. 9 §2796.1. Limitation of liability for loss connected with St. Patrick's Day parades or any ethnic parade
R.S. 9 §2796.2. Limitation of liability for loss connected with festivals, programs, or activities sponsored by an animal sanctuary
The standard could be "inherent risks of the farm animal activity."
R.S. 9 §2795.1. Limitation of liability of farm animal activity sponsor or professional; exceptions; required warning
or maybe "inherent risks of equine activities."
R.S. 9 §2795.3. Limitation of liability of equine activity sponsor; exceptions; required warning