Blender model losing object centers on import?

I've created a model in blender, consisting of several objects (an airplane body and a few moving parts, like ailerons, rudder, gear, etc). My problem now is that while the object centers are set correctly in blender, Unity seems to ignore them on import. I know unity imports blender centers correctly on single-object imports.

Is there an issue with multiple-object imports, that ends up losing the object centers? I'm hoping I'm just being stupid, and forgetting something simple...

Make sure you have unity set to pivot mode instead of center, otherwise it'll give you the average of the pivot points as the center when you click your object (The button is up at the top, called either center or pivot depending on the mode)