Connexions Loyalty is owned by
Affinion Group. To my knowledge they are not owned by Expedia or Priceline. (Between the two of them they own nearly all retail online travel agencies. Expedia owns Travelocity.)
Connexions also administers Chase Ultimate Rewards online travel portal, and one member mentioned a hotel booking that had passed through Expedia to the property. Connexions may well auction each booking to whichever entity has the lowest cost (for them, not for us.)