I have unfortunately found myself in the same situation, but with 10+ NUC's with the N2820 CPU and the same wrong Corsair 1333MHz RAM.. It has been out of share luck that my previously ordered NUC's have the correct RAM, as even with the amount of research I did I still managed to order miss the details regarding "1066 MHz or 1333 MHz on the Intel® Celeron® Processor N2830.". I have only found this obscure information on two documents out of 5 I have so far, so I think there is a documentation consistence issue.
My mistake was to put my trust in the DN2820FYKH brochure/brief and website, in which it specifies that 1333MHz is valid for the DN2820FYKH model/revision!!!
Mini PC - Intel® NUC Kit DN2820FYKH
Please fix your website Intel regarding the N2820 product briefs, or if you don't want to spend the money please feel free to reimburse me for 10+ NUCs & Corsair RAM!! :')
Lesson learnt.
David