It's such a special hotel. Surprised they didn't offer you Prosecco or Champagne with breakfast.
You dodged a bullet with the WA. On our Great Tour of Europe we interspersed days by hotel pools to take a break from the sights. We had the StR book us a casaba at the WA and other than the location the hotel is a complete Zoo. Throngs of loud tourists arriving by mini van and no less than 50 people in the lobby (pre Covid). We witnessed the bell boys just yelling the flight numbers for people to take their transfers.
The pool has a pool of the old facade of the building and it's TV/phone antenna tower.
The StR, however, was spectacular in every way!