Koraks - I think you're confusing the meaning of "P" in a Fuji product presently being manufactured in the EU with something apparently still around here in the US (it seems to be getting dropped from most lists by now) where it meant exactly that, even in the brochures. It was by design lower contrast than Commercial Super C papers, and tailored to the studio portrait market.
What makes it so confusing is that B&H shows the older green packaging characteristic of those previous papers, which had already gone "digital exposure optimized" at least 15 yrs ago. It doesn't mean they actually stock that. And there seems to have been an overlap on the B&H website with another product line - perhaps what you refer to as DPii in Europe, somehow showing up here for awhile as well on their website, but under what premise I cannot say. Super C ii now seems to be the predominant commercial product for larger prints, and its contrast can be tweaked post-scanning in those cases where large laser printers are involved - hence no need for a separate lower-contrast paper line anymore.
In terms of "amateur market", I can't think of anyone darkroom using Supreme. Maybe a few have tried it. It is being consumed in considerable quantities by high speed commercial automated digital printers up to 12X18 print size. I simply don't like the look now that digi automation has taken over, if I were prone to order snapshot prints.
And again, this goes back to another dispute you had with me, concerning the "ii" designation itself, which seems to have gotten promiscuously attached to a number of papers, at least marketing-wise in this country, to simply indicate "new and improved". Distributors could be out of synch with the Fujifilm USA website itself, which often seems to have been out of synch with itself, and their own warehouse inventory for that matter.
But I saw that same kind of nonsense in the company where I worked, when the Manager hired his own teenage daughter to take over the website; and she didn't have a clue what any of the product lines actually represented. To this day, 20 years later, the site is still showing lines which were dropped over 30 years ago, or have long been out of business. So it goes in the Misinformation Age.