Any horse that I own or that I'm training will be ridden in a rope halter first. A rope halter/rope halter hackamore is VERY different than a "bitless bridle." Bitless bridles use leverage and can be quite harsh.
A horse should be able to do anything in a halter...jump, go on a trail ride, w/t/c stop and back up, etc. Bits are for refinement and clearer communication, not for control. IMO if the horse can't be ridden in a halter, even in just a certain situation, there is a hole in his foundation that needs to be fixed.