Break the Matrix

but i would use the crane since it doesn't anchor on mandible. int the picture above the girls mandible seems to have receded. The crane In theory it should be the perftect device for facepulling because it would bring everything forward.

What do you mean by receded? The location of the mandible does not recede unless the location of the bite recedes, which is the opposite of what she seems to have achieved. Besides, not a single facepulling device is anchored on the mandible. Bringing maxilla forward is enough to "bring everything forward", which is why all devices focus on that. Mandible merely follows the upper jaw and remodels itself according to the needs of the bite.