My first double eyelid surgery ended up looking like so-called sausage eyes, so I had surgery to improve it. For the surgery method, since I had enough room in my eyelid fat, they cut along the existing line and created a new line for me. From the reviews I read, it seemed like the doctor usually performs revision surgery with that method.
During the surgery process, the doctor and all the staff were kind, which was nice. After surgery, they also provide scar tissue injections and other care. However, it seems they do not offer any separate discount. (My younger sibling had revision surgery there and it went well, but there was no discount.)