I use the same ammo for deer and elk. I have a Winchester Model 70 in 30-06 and shoot a Barnes TSX 180gr. Have killed many whitetails with it and it mushrooms nicely. Have found many bullets in the opposite hide.
I also have a Weatherby in 300 WM. I shoot a Nosler Accubond 180gr out of that. Killed 1 whitetail with it. Much more energy, entered front right shoulder and traveled length of body to lodge in back left quarter. I would guess your 7 mag would have similar results.