A Cheese Rack is liftable while empty, and can't be lifted if has a cheese tray placed inside. However, if you destroy a house with a filled Cheese Rack inside, it pops out and becomes liftable (with trays inside). So, if the same mechanic applies to, say, an occupied loom, that could be quite a fun possibility of creating Trojan Boats with "loomed" warriors inside, left to be stolen on a shore by a pretend careless noob etc.
Don't have a spare house to investigate further, though. Please someone check.