Since you already have a Bazzaz unit installed on the bike, the sensible thing to do is install a Bazzaz quickshifter sensor and make use of what you already have, rather than installing yet another separate electrical gizmo and box and wiring harness.
I have no experience with those. I have a PowerCommander 3 quick-shifter on one bike that is street ridden and a PC5 quick-shifter on another bike that is strictly a race bike.
On the PC5, I had an issue with it shortly after installation - randomly false-triggering leading to the engine cutting out when it shouldn't. With the PowerCommander shifters, the wires to the PC module have plain ordinary bare ends that are inserted into small holes in the PC module and then tightened in place with a set screw. This is a weak spot for water intrusion, and I'm pretty sure that's what caused the issue that I had. I've since put some electrical tape on these connection points with the hope of reducing water intrusion. It has worked fine since.
The PC3 works fine on the track where you positively shift without the clutch at revs that are firmly beyond the minimum-RPM setpoint and always at wide-open throttle, but not on the street, where that's not necessarily the case. I always use the clutch when street-riding to cushion gear changes, and if you try to do that, the quick-shifter cuts ignition in addition, leading to an awful lurch. I ended up installing a microswitch on the actuation lever for the clutch which disables the quick-shifter switch if I am pulling in the clutch lever. That works well 99% of the time ... quick-shift when I'm not using the clutch, but not when I am, with screw-ups only when I do something half-hearted.
I do not know if the PC5 will have that fault, because that one is installed on my race bike, and only ever sees full-throttle upshifts at high revs.
And I have NO idea how the Bazzaz would behave.
The OEM quick-shifters generally work well, because they are integrated into the bike's electronics which have sensors for all sorts of things including whether you are using the clutch.