I have the SSDMCEAW120A401 in my D54250WYKH1. Works just fine.
E-Creation, it should work fine on that NUC since the D54250WYK and the D34010WYK are very alike.
I suggest you to check the following thread from a customer using this product combination, just in case you need more information from it. https://communities.intel.com/message/227833