Each flavour of profile application has it's own taste especially in perceptual rendering intent. The built in profiler is NOT Gretag. Gretag is good, and well used in the industry. If the repsonse of the Z prints are what they are, no profiler is going to be able to do much about that. Some smoothing, some good math can cure things yet the relative intent should be pretty close one to another.
My take on APS is more optimistic. Yesterday I recieved a shipping version of the Z. I set it up and other than clearing out old beta software the printer was up and ready in little time. At the end of the initialisation I needed only do a cal, then an APS profile on glossy ID which the customer insists on. I pressed the button to profile, went and had dinner, and the printer was at a level that years ago would have required an expert to get it there.
Can you do better with external kit? Yes, if you have it and know how to. That doesn't take value away from a fully automated profiler of very good quality.