Discard that is "far away" from central London. The place is located next to a tube station, so everything is accesible (40 mins tube or boat ride, thats right, boat, ask the host), its located in a lovely 'hood, the host knows the area and can give you superb recommendations and things to do. You wont miss central London that much.
I've used airbnb for the last 4 years, and this place is a hidden gem, its the best arbnb I've stay in the last 3 years. Highly recommended, im planning to return as soon as I can.