I just find it a bit trite to hide a lot of the game's secrets behind one skill. It seems reasonable for two cases to occur:
There are more than one way to block a secret: locks, heavy/tough obstacles, and magical protection.
There is more than one way to open a locked container: picking it, unlock spells, brute/magical force, or intelligent application of mechanics.
Granted, incredibly tough locked items might need to be picked, but wooden containers and doors seem like they could be opened by anyone with enough determination.
The lock scene just seems to me like it could use a variety, whether it's a secret that isn't just behind a lock, or whether non stealthy characters can get past some of the basic to medium locked objects.