A few months ago my mom backed into another car while leaving church. The lady at first didn't want to file with insurance because it was really an old junkie car. Mom felt bad and offered to pay for the repair OOP. The lady first rejected, but then decided she should file a claim. Mom was not upset about this, in fact she was so relieved because she felt so badly every time she saw the dented car. (Mom is like that.) The lady ended up getting a settlement check for $1000+. Mom was so glad as she would no longer have to see the dent. As soon as the lady got the check, she told mom that she decided to keep the $ and let it go w/o repair. Mom wasn't exactly mad, but disappointed and she still has to see the dent every time she goes to church.
Really, what your neighbor thinks doesn't matter. What you do with the $ is up to you. But, I just wonder how they will feel when a claim was filed against their ins. and you didn't get the repair. Everyone is different. They may not care. Just a thought.