As your question implies, it makes some sense to delegate responsibility for registration to the assembly that knows what needs to be registered. For example, if you
use the SolrNet library, it provides a method that performs component registration, to encapsulate the knowledge of what needs to be registered and to spare the library's consumer from having to learn all about the library before getting started.
However, there is a potential issue with this approach. Would your registration requirements change if you used the dependent assemblies in other applications? For example, would it make sense to register something as ComponentLifeStyle.HttpRequestScoped and then use it in a non-Web application? By delegating registration to the dependency, you are coupling the dependency to its consumer's registration requirements (and to its choice of IoC container).
Autofac (I can't speak for other IoC containers) provides a way round this. It enables you to override registrations so that the most recently registered component is used when a service is resolved. This means that you can call a library's registration method and then register your own services to override the defaults.
There is another problem with your proposed attribute-based registration - it doesn't enable you to specify a lambda expression as a component creator. How would you implement a registration like this with attributes?
builder.Register(c => new A(c.Resolve<B>()));
It might be preferable to define an IRegistrar interface, and then use reflection to search all loaded assemblies for implementations and invoke them. Perhaps something like this:
public interface IRegistrar
{
void RegisterComponents();
}