From what I've read, it may not be HP5+ itself but it does seem to be both made by Ilford and at least based on HP5+ (a tweaked version wouldn't strictly violate "no licensing an Ilford emulsion"). The development times are the same, the base is pretty similar (dries flat like HP5 but has a blue tint), the packaging is Ilford right down to the fonts.
The odds of two independently developed films being *that* similar seems staggeringly low. Ilford can protest however they like, but if it walks like a duck and quacks like a duck...
I believe it when I see evidence.
As stated before, Ilford has stated publicly that they don't do OEM re-branding of existing emulsions. But it may very well be a film specifically made for Photo Warehouse.
"Often moments come looking for us". - Robert Frank
"Make good art!" - Neil Gaiman
"...the heart and mind are the true lens of the camera". - Yousuf Karsh