It just struck me that the title "Persuasion" might not only refer to Anne being persuaded by LR but also to her increasingly persuading others. In ch.12 we had already seen many detailed instances where she urged others to do something. Reading ch.13 I bumped into two more:

Vague wishes of getting Sarah thither had occurred before to Mrs. Musgrove and Henrietta; but without Anne, it would hardly have been resolved on and found practicable so soon.

"What should they do without her? They were wretched comforters for one another." And so much was said in this way, that Anne thought she could not do better than impart among them the general inclination to which she was privy, and persuade them all to go to Lyme at once.