To be honest, there is nothing to manage in Netlify. Just first time connect the git repo during sign up procedure. Additional benefits (at least for starter) are 1 click SSL management. They also provide functions and form, but I have not used them so not aware of how useful they are. :)
Sure they are not a huge improvement compared to your setup. But streamlining the procedure for someone not familiar with the pipeline is a great benefit.
I learned Jenkins creating the pipeline to AWS in less than a day.