So whenever I ride Arthur, Lulu has to tag along, and she just runs around us while we ride. Naturally, being the pain that she is, she has to buck at Arthur when we try to pass her up. Arthur, assuming alpha over her, pins his ears, arches his neck, and sometimes tries to buck back at her.
When I canter Arthur, Lulu runs next to us, and Arthur usually tries to tuck his head way under himself. When he does this, the canter gets rockier. He's gaited, so his canter is always smooth, but when he tucks his head under himself the canter gets a lot more like a rocking horse. He seems to be leaning way forward and way back in the canter when he tucks in and lowers his head like this.
I always pull his head back up when he does this, because usually it leads to bucking at Lulu.
So my question is this: Should I let him keep his head down when we canter, or pull it back up? Is there a 'correct' way for a Western horse to carry his head in the canter? Thanks,