In current Aqualung items, Supreme indicates a cold water item.
I checked SE3 schematics, (same service guide as SEA4/Conshelf22/Aquarius/Pioneer) and I see no indication of any design difference for Supreme 2nd stages. So it was probably simply paired with the Supreme version of a 1st stage, which would have an environmental sealed dry kit added, perhaps even an oil filled kit for some items.
Does this have a 1st stage you can also provide a photo for? Looks the original was an SE2 first stage, and I can’t find a manual labelled for that model, so not sure what it looks like. Might be a Conshelf variant.