In all the hotels I have stayed at worldwide which offer BVLGARI products (shampoo, conditioner, lotion, etc) it has always been The Vert. Only in SQ did I get the BLV cologne and cream.
At the IC HKG I had The Vert BVLGARI amenities, full sized ones. OT, but the Hilton Lyon offered BVLGARI amenities in their Executive floor rooms a few years ago; I do not know if they still maintain this benefit.