RC has a lounge if you book Club Floor, whereas WA has nada.
Whatever you book, remember to use Impresario for WA, Rocco Forte Nights for the Rome, Marriott Stars for the RC, IHG Luxury & Lifestyle, Adlon under Virtuoso
These are all those programmes that get you more than just booking direct, F&B credit upgrades etc, especially useful at properties like the Adlon
The outfit I use is
https://propellertravel.com