While I do think the person should be paying someone to sit their dog not someone paying the dogs owner to house /dog sit
I will say in much of California $2000 /month rent is not uncommon. In Santa Barbara where I live you would be lucky to find a nice 2 bedroom apartment/ condo or very small house for that as many of my coworkers who rent and have a 2 bedroom place pay about $2400.month and no they are not beautiful homes just everyday condos and apartments or small run down homes and often if you have a pet there is a couple more hundred tacked on per month
Sad but true which is why I am glad I bought my place years ago.I know people in many parts of the country think WTF? but here that is life. Unless you have a connection to a property owner that has owned the place a long time and is not greedy and some people have found such places but that is rare.