Well, there are only two versions of boxes.
Balsa with dark blue interior and with three golden kanji on the lid "labour badge" and stamp "Japan Mint" (on the back side).
Black lacquered with two-color (yellow/dark blue) interior and with five silver kanji on the lid "labour merit badge".
The box on the Rich site is simply a wrong one (a replacement that was made either by the owner of the badge or by its seller on the YahooJapan)
As for the "brown" and "orange" enamel.
I think "brown" looks like more transparent "orange" on these photos because they were made with direct photoflash
Regards,
Nick