Oh goodness, don't let the vet worry you.
He can be neutered if you want him to be.
Perhaps the vet who doesn't want to do it doesn't know how to do surgery on a liver compromised dog? A certain protocol does need to be followed and it's no big deal. They are at higher risk because one of their organs isn't functioning properly. That doesn't mean they are in extreme danger.
My dog's (post) bile acids were 47, then 15.
She was spayed as a liver compromised dog.
A couple months later they went up to 106.
See, her bile acids are all over the place and her vet still wanted to spay her.
It went just fine.
Make sure the vet knows what they are doing with anesthesia and no NSAIDs for pain.
You can do further testing for numbers like that if you want or you could follow a protocol and treat like MVD or some would say you could do nothing at all. If you want to do more testing, a Protein C Test would be next.