The Alpha 2 International is 22020D2 (or some slight variation for different colors - the "2" on the end is the bit that matters). The 22020DH is indeed the Alpha.

When did you order? Given you only just received it I'm guessing that you only ordered recently - but if by any chance you ordered within a day or 2 of this thread going up (ie, when the description was still incorrect) then you can probably convince them to swap it for an Alpha 2, but it will need a fair bit of talking to convince them (at least, it did for me)...

Worst case you should be able to get them to give you an extra $20-60 off, which makes it a great price - but still not an Alpha 2...