One of my copies of Persuasion has an interesting note on the location of Camden-place. It includes a map of Bath around the time of the novel (I have linked a similar one from JA info pages below).

Camden-place is up at the northeast corner of the city. It overlooks a kind of valley, apparently. The notes in my book said that this would have been an especially prized location for people like Sir Walter and Elizabeth, because in looking out they would not really see the city, but rather be looking down on the surrounding countryside, leaving them to fancy that they were gazing out at their own land.