Here's my opinion and experience with this promo:
1. Any and all Four Points qualify toward the promo's qualifying stays.
2. The "Page Two" "Participating Hotels" refers only to those hotels that are currently participating in having the Four Comfort Beds already installed.
3. Even Four Points hotels that do not have the beds have the promotion's advertising tent cards promising the bonus points without property restrictions, in the lobbies and in the guestrooms.
4. I did not stay in even one of the hotels that are on the "Participating" list that have the beds installed, and I got 2 sets of bonuses (for 6 stays).