I don't yet have the Super 55s installed in a bass (set on order), but I think the Super 55s will be louder in volume.
I have 2 Dimarzio Area J pickups in an Ash body Warmoth, and 2 SD Hot Stack J pickups in an alder body Warmoth ( both P bodies).
At this point, the Area J pickups (split coil) sound louder and clearer & more like single coil than the Hot Stacks, but the Hot Stacks (stack coil) sound thicker in some mids, due to winding.
The Ash vs Alder bodies may play some role, but stack pickups tend to have less volume in my experience and per others who post here.
The Area J pickups use Alnico 2 magnets, and the Super 55s (also split coil) use Alnico 5 which are normally considered stronger/louder in a similar pickup.
I think the Super 55s would also be a little louder than the Area Js due to the magnets and based on reviews I have read here.
FWIW, Dimarzio describes the Area Js as vintage sounding, not as loud as some other J models they make.
The Hot Stacks also use Alnico 5, but are stacks design, etc.
I like the Area Js and the Hot Stacks, but they do sound different.
I've never used a SD QP of any type, but have the SD SPB-1 vintage P with a SD Hot Stack J in an older PJ bass. The P pickup is louder/stronger than the J stack in this bass.