Always climb to the highest point in a dungeon to surveil it. Then gather up all you saw, use that saw to cut through the damn doors.

But jars aren't worth as much as doors

As a Door Thief, mildly.

At a certain point encumbrance leads to a system of value density to prioritize overall loot carried; however loot goblins will also prioritize shenanigans such as stealing doorknobs or swapping doors or assigning high value to mundane items like stools for collection purposes.

I think my next character will specialize in some sort of loot golem.

I have never had a door stolen. We have to do some paperwork to steal a stone statue that insulted you and then swung it's arms to fight you. But they used it as the figurehead on their ship