It's my understanding that 1Z MP contains some protectant in it, which would IMO not be a good base for Zaino. You can polish with your 1Z, but then I'd recommend following with an AIO pass to clean up what's left behind, and then go crazy with Zaino.
1Z MP is so mild, you might even find that AIO does almost the same job prior to Zaino. Something to think about.