I have shot animals using the bullets you listed and many others in magnum calibers, and can say more often than not, the bullets are caught in the offside hide. Yes, I have had complete pass-throughs with Barnes TSX, ELDXs, Bergers, and Partitions, but I have also had them with the same in smaller calibers.
If both bullets fail to expand and pencil through, then yes, the larger bullet will create a larger permanent wound, but in bullets that have performed as designed, I have not, at this point, seen any evidence firsthand or on RS that a larger caliber bullet does more damage than a small caliber bullet.
The damage you see from a small caliber bullet is honestly too much for many, and if it were that much worse using a large caliber bullet, no one would use them.