If the incident happens in the future and you are bit by their dog their insurance pays. The owner is always responsible for keeping their animal contained. Maybe mention to them a level 4 dog bite typically pays out $125,000-500,000. With a pit bull, you’re getting at least a level 4 bite. That’s why they are often excluded on acceptable breeds at rentals. The owner doesn’t want the liability risk. It’s ALWAYS the dog owners fault unless you’re trespassing on their property and even then the owner has a responsible responsibility to keep their dog contained.

https://www.clinicone.com.np/different-levels-of-dog-bites-what-to-expect-in-each-level/#:~:text=Level%20Five%3A%20In%20level%20five,caused%20because%20of%20the%20bite.

I recommend looking up dog bite levels and average insurance payouts. Then print it and give it to your neighbor next time you tell them you don’t want to get bit by their dog. Also, check your state/county law on dog bites and discharging of the animal. Sometimes there is no option and the dog bites, breaks skin, has to be put down. Remind the owner what exactly is at stake.