If you browse any online forum or place people can freely post, you will almost always find most people saying their rabbit did not make it through a neuter; however, keep in mind that people are more likely to post when things go wrong than right.
There’s also what’s called the availability heuristic, meaning that the more vivid and readily-remembered something is, the more frequent we believe it will be. The stories of people’s rabbits dying during a neuter are very vivid– so sad, heartbreaking, and unfortunate. As a result, one may overestimate how often that actually happens overall though.
I think the two main factors to consider is the vet’s experience with neutering and caring for rabbits, as well as your rabbit’s health. If both are well, the risk is minimal!
The answers provided in this discussion are for general guideline purposes only. The information is not intended to diagnose or treat your pet. Seek the advice of your veterinarian or a qualified behaviorist.