For most of the device, the difference between AP set and original set are very minimal. However it depends on the origin country of the device itself. The obvious difference is warranty where original set is covered by the authorized distributor, while the AP / Import set warranty is covered by the the importer itself.
The other difference might be in the software, where certain countries might have different firmware version and default applications installed in the phone. Some smartphone that is sold in certain market such as Middle East and China might not have Google PlayStore due to their countries regulations.
The accessories given also might differs such as AC plug socket type.
Please bear in mind DirectD only sell original set from official and authorised distributor.