I rented the place for my parents who came for a visit. I live in the neighborhood as well and have rented my place through Airbnb a couple of times and so did some neighbors/friends of mine so I have a good feeling for the type of places you can rent in Fort Greene. I think the apartment is overpriced, and that the score people gave it is inflated. I would give it 3.5 stars.
It is a decently cute apartment, but it is small, under-maintained and feels thrifty. The host is I'm sure a very nice person, was very responsive and we haven't used the free bike rental which seems like a nice gesture, but some things in the apartment just through me off - for example leaving an empty olive oil bottle, empty shampoo and almost empty conditioner bottle for an 8 day stay are, in my opinion, worse than not leaving anything. Another example - The bed frame was bigger than the mattress and had a sharp/dangerous corner that my parents had to wrap with a towel to make sure they don't bump their feet against. the fan was dirty, the stovetop was half dysfunctional, the AC was very noisy and did not cool very well, etc. in addition, there are 2 very steep flights of stairs in order to get to the apartment, so if you are older or have an issue climbing stairs with heavy laguge, you should be aware of that. Overall, it was an ok experience since the main consideration for us was the location, but since the host charges a rather substantial cleaning fee and people "rave" about the apartment I wanted to bring in my own perspective, as a person who lives 5 minutes away and has rented their place through Airbnb a couple of times in 3 different cities.