I think you will have to be very honest with yourself about how often this happens. No one wants to go into the ring with a 50/50 chance that the horse is simply not going to want to play ball that day. That isn’t fun, and, frankly, selling him on to a jumping home under those circumstances will be setting him up to fail.
I do think that someone on relative budget will be willing to take a chance if it really is occasional, and he then can be convinced to jump around afterward. Does he have the stop/look, and then jump the fence on the second attempt and continue on? Or does it become a point of contention?