Currently the exporter uses a destruction core and the importer a construction core, to me it seems as if it should be the other way around.

Exporter destructs items from your system to the chest

Importer constructs items in your system from a chest

Actually, you can look at it from both ways. But to be consistent with the constructor / destructor blocks, I'll change this

constructor: system -> world (construction core)
destructor: world -> system (destruction core)
importer: world -> system (destruction core)
exporter: system -> world (construction core)