For me the key advantage is much less boilerplate, readability and portability. The problem with `Stateless` components up until the introduction of hooks is that if you wanted state you had to write your component as a class so you ended up with components written in two totally different syntaxes with one being much more heavy on boilerplate.
The last key advantage i see is it brought the "React Components" way of sharing to logic. Previously every piece of logic you shared had to be connected to a react component, so you ended up with many "Providers" that were just a div with logic. Now with Context and Hooks you can easily transport that logic without the use of a Provider (well you still need one with Context but that a slightly different story).