Probably not.
Neutering doesn't affect a dogs dominant tendancies, or substitute for training. It may have an impact on how he expresses those tendancies though, especially if some of his behaviour is hormonally motivated.
I personally doubt that they'll see a lot of behavioural changes, especially if they're unwilling to put the time and effort into any training. But neutering him is still a very good idea - unwanted puppies aside, it is much better for his health.