I have experience dining solo at Remy for dinner! Yay for being relevant!
All kidding aside, I should start by saying that I have no problem dining solo. I do it at WDW, I do it at home. And I took a solo 3 night cruise on the Dream, and I didn't let my lack of a dinner partner stop me from having dinner at Remy.
Schedule: My normal dining rotation on cruises is late seating, but I switched it up for Remy dinner. I scheduled it for first night, somewhere between 5:30 to 6pm. Before anyone starts freaking out about getting enough time to clean up and dress up, I was fine. I packed my cocktail dress, hosiery, and shoes in my carry-on bag. Because I am neurotic about getting luggage delivered with enough time to get ready, and I didn't need to worry.
I didn't bring a book. But I didn't need one. I was seated before sunset, so I was treated to a beautiful view at a half-moon curved banquette booth facing the sea. I was also the first party seated, and I felt I received the star treatment from everyone. The various servers made time to stop and chat with me, explaining some of the dishes being served. I opted for wine pairings, and the sommelier was fun and stopped by often to chat with me, as well.
May 2012 on the Dream, the menu was not a la carte. It was completely at the discretion of the restaurant what to serve me. That did change, possibly because many people might not be as open as I am with food choices. I loved everything they put in front of me, and I had a visit from the chef after I was done. I would definitely do another solo dinner at Remy or Palo without hesitation.