How do you get a rope horse to stay honest on cattle?

A rope horse staying honest on cattle means it continues to respond correctly to the rider's aids in the presence of cattle the same way it does in the absence of cattle — it does not pull, drift, anticipate, overrun, or ignore the leg just because a steer is in front of it. Honesty on cattle is the product of training that was never allowed to be two different things: the horse that was always required to respond to the leg and rein whether cattle were present or not develops a consistent standard that carries into the roping pen. The horse allowed to pull and drift and ignore the leg beside cattle while the rider focuses on the rope develops a split standard — polite in the arena, unmanageable on cattle — and that split widens every session it is tolerated. Maintaining honesty requires that the rider demand the same responsiveness on cattle that they demand off cattle, which means being willing to stop a run and correct the horse when it drifts, pulls, or ignores an aid, rather than accepting the behavior because a steer is attached. This is a discipline most ropers struggle with because stopping a run to correct the horse feels like it interrupts the training when it is actually the most important training happening. A horse corrected consistently for pulling on cattle learns pulling does not work. A horse whose pulling is tolerated on cattle learns pulling is the cattle strategy. Vary cattle speed, alternate between runs and non-runs, maintain the same leg and rein standards in the roping pen that exist in flat work, and correct every departure from honest responsiveness the moment it appears rather than after it has accumulated into a confirmed habit.