Once the frames are filled with drawn comb they can be mixed up in whichever way you choose, without many problems. Before that there can be issues: For instance, I have some hives that almost refuse to draw plastic foundation if I don't coat it with lots of extra beeswax and place it between combs of sealed or emerging brood. I just extricated several of these which had been in very strong hives for several months now (three supers full of brood and three of honey), where they were apparently just taking up space - not the slightest effort had been made to draw comb on these plastic foundations.
It should be just fine to hive packages on Pierco® one-piece frame/foundation units. I personally, would carefully coat the plastic cell-wall bases with lots of extra beeswax, being careful not to get too much into the bottoms of the cells, as this can hinder the bees from building a good comb from the plastic foundation. I recently forced the bees, from a fairly strong hive, which was reluctant to become queenright - into a single super of PF120's that had not been drawn yet, but were coated with lots of extra beeswax. Most had been drawn into comb after only four days.