To me it sounds like the horse has moved down the road because it’s a stopper. A 1.40 horse should not stop at a ground pole or a cross rail if all you do is drop your eye. It should go. I’m not expecting it to take joke after joke but a 1.40 horse should be able to make it over a cross rail with both it’s eyes closed.
As an older adult amateur stoppers teach me to pull and roll into a ball, not ride better. Adult ammys don’t need to be on a horse that needs a tactful ride over a cross rail. Especially considering how much she probably paid for this horse.
Should we be expected to be working on our skills and partnership and do our own part? Totally. But the horse knows what it’s job is and the OP isn’t creating a great sin by dropping their eye, it can help the rider out.