This always bothered me as well. If it were my system I'd allow lock / container bashing with some balancing mechanics such as...
(i) Deadlier Traps: Bashing can't disarm the trap, so you'll have to be tough as nails or a gambler if you want to bash a trapped door or chest.
(ii) Brute Force Consequence: It may be that to bypass the iron lock you have to smash through the hard wood of the chest. But in so doing, you can easily ruin the goodies inside. Perhaps the less skilled you are with a weapon the more likely you are to destroy any and all loot inside the chest?
(iii) Different Materials and Strength Thresholds: Smashing a wooden chest is one thing. Smashing an iron door (or for that matter, chest) is something else entirely. You may need a minimum amount of strength to bash wood, a higher amount to bash reinforced wood, and superhuman strength to bash iron.
(i) Deadlier Traps: Bashing can't disarm the trap, so you'll have to be tough as nails or a gambler if you want to bash a trapped door or chest.
(ii) Brute Force Consequence: It may be that to bypass the iron lock you have to smash through the hard wood of the chest. But in so doing, you can easily ruin the goodies inside. Perhaps the less skilled you are with a weapon the more likely you are to destroy any and all loot inside the chest?
(iii) Different Materials and Strength Thresholds: Smashing a wooden chest is one thing. Smashing an iron door (or for that matter, chest) is something else entirely. You may need a minimum amount of strength to bash wood, a higher amount to bash reinforced wood, and superhuman strength to bash iron.
The Oblivion Overhaul mod incorporated a few consequences for going the Bashing route to opening chests that were nice. It made the whole process incredibly loud, so bashing a lock could turn enemies from far away hostile, you had to have a certain amount of strength to bash some locks, and the weapon you used to bash the lock had an influence on the difficulty, and it didn't disarm traps so that bashing a trapped lock would almost always result in pain. I hope that mod was one of the ones the devs looked at for ideas.