Personally I see the twin props as kind of a gimmick when you consider how they interact. And one more thing to complicate the system. My single prop Vetus did just fine. You do need to make sure the prop or props are kept clean.
I definitely believe that the thruster should have its own battery bank installed nearby with ideally with its own charger. I enjoyed that set up on my old Hatteras 56MY courtesy of a PO. It never occurred to me that a hydraulic system would be needed, and it adds a whole lot more expense and complication. We had Naiads as well. I once asked an excellent tech and he said the pump would not work a davit, so I suppose not thruster either. But a boatyard that does these things could evaluate your particular system, I can only speak for my boat. You should have the stabilizers centered during docking, and that uses the pump.