Not its not really the same with running martingales as the don't restrict the movement of the head but restrict the horse from flinging it head up really high. I always use a running martinagale because you never know what might go wrong and even the best riders can get help from martinagales in worst case scenarios. I don't tend to like to use standing martingales while jumping because the horse will just pull on it and use it for balence and not learn. I like using the bungee things on the flat but not really for jumping.
Also to get him more round over the jump you can try to set a pole in front of the jump and then one behind the jump and it helps him take off from the right distance. You should set the pole about 9 feet away from the actual jump and it will help him place himself. That's what they did with my horse and I will tell you, if she knows how to do something its setting her self up for a jump! Hope it helps!! :)
Bandera 6 yo Hano x Canadian Crescent Star Eventing Team