Nope. Just because the flame goes out as you say doesn't mean the pressure goes to 0 (atmospheric) instantly. As long as the pressure in the bore is greater than atmospheric pressure, there's a force to continue pushing the bullet. And as long as that force is greater than the dynamic friction between the bullet and barrel, the bullet's velocity will still continue to increase. While the gases may be cooling, both from direct heat transfer to the surroundings (i.e., barrel) and expansion (thermodynamics), the pressure still remains high enough to continue to accelerate the bullet. And there's enough "unused" pressure that we get muzzle blast once the bullet does exit the muzzle. We can argue whether or not the flame truly "goes out" before the bullet exits the muzzle - that's not really the point. From a thermodynamic perspective, QL is predicting that the bulk of the powder is consumed well before the bullet exits the muzzle, and that shortening the barrel length from 26" to 22" only changes the amount burned by 1% or so. My air gun pushes a pellet out the end of the barrel without any burned gases, it's just pressure from the compressed air that does the work.
None of this helps the OP with his original question. But as he can see, there are as many "best short-barreled 6.5 calibers [cartridges]" as there are folks posting on this board. We each have our favorites and rationale for choosing one over another. As long a we provide him that information, he can use that to help him decide which one is "best for him."