Reread what I wrote. I did not say energy is useless, I said it was a useless metric by which to judge a bullet's terminal performance. I know you referenced 1302 ft-lbs, that is the 105 HT at 330 yards. Are you saying that bullet will not penetrate a shoulder at that distance? I gave you 1800 ft-lbs and referenced that being at the muzzle to compare to your 7PRC example at 500 yards, again are you saying that the 170 gr TA will penetrate and expand at distance but a 6cm/105 HT won't at point blank? Bullets are built differently from line to line and caliber to caliber, to perform within a velocity window. Calculated KE is a byproduct of mass and velocity, in and of itself it will tell you absolutely nothing about the terminal performance on game.
The smallest cartridge to blast through an elk shoulder in any scenario? No, I cannot. However I can tell you that a proper bullet, from a centerfire .22 cal rifle or larger will complete the task as long as it impacts within it's velocity window. Elk shoulders are not magic, they are not AR500 steel, they are not level 4 ceramic plates. To use energy as a metric, guys are sticking broadheads through elk shoulders into the vitals every fall with under 100 ft-lbs of energy. Any bullet that will kill a cow elk will kill a bull elk just the same, there is not as much of a difference between the two as some would like to believe. A cow moose in many regards is larger than a bull elk.
You should take a tape measure to an elk the next time you're around one. They are not as big in the areas that we want to shoot them as some would like to believe. If you listen to certain podcasters, a rutted up bull elk is basically bulletproof and so smart that the only shot he is going to give you is quartered away and you'll need 4 feet of penetration through the ball of the femur, pelvic girdle, every single rib, then have it take out both lungs and the heart. That is not reality, that is, as they say, showbiz. An elk shoulder is, at most, about 5" thick. Then you are in the cavity, and it is all soft tissue with a max width of around 10-12" from rib to rib between the shoulders. Any quartering-to angle will yield being in the vitals at the same distance. The ribs will be ~16-18" apart behind the shoulder where the lungs sit. The rearmost portion of the rib cage will be in the neighborhood of 22". A quartering-away shot placed behind the ribs and running to the front of the chest cavity on the opposite side will be in the range of 16-20". Use a bullet that creates the would profile you like, and keep it above 1800 fps impact veloctiy and you will have no issues. No need to calculate energy to compare calibers.
Anything at much more of an angle than that and you will be in the hips and into the stomach, which you have no guarantee of penetrating with any bullet, let alone penetrating and trusting the bullet to still have the velocity on the other side to do it's job. You can shoot them in the ass, obtain a CNS or femoral hit, and down the animal to be able to finish it off, but caliber will not matter there and I like to eat what I kill, so that shot is off the table before the hunt starts.
I'm not telling you what cartridge to hunt with, I am telling you that the dogma of "You need X caliber or X ft-lbs energy" is wrong. And yeah, for most people a 6.5cm is actually all they need to shoot anything in North America from 600 yds and in. You are free to hunt with whatever you'd like to, but it will help your hunting to at least be knowledgable about the subject at hand rather than repeat what you've been told your whole life without testing anything on your own.