Lucrezia just wants their company. The night is still young as far as she's concerned and she still wants to party it up with the people she likes. No more crowds, they only tire her, and no carrots if the gentlemen refuse. Maybe that was only meant to test how lucid Joshua is.

"Whatever you wish," she reaches her other hand to take Joshua's and start walking back. "But you must both stay for the lanterns to wish for everything else the maids cannot fetch."