Chemically, the dichromates all work the same. One difference will be the amount of dichromate per gram. The weight of the Ammonium atom being less than Potassium's, Ammonium dichromate (AD) will actually have more dichromate per gram than PD, thus AD is more 'active' by weight. This difference can be corrected for easily, but I do not have the conversion factor handy. Standardizing on one will keep things simple.
The other property that differs in solubility -- AD will form a higher concentrated solution than PD.