I wonder why repositories are always described as being used for aggregates specifically. Isn't it equally motivated to use it for all entities?
Because aggregates are the consistency boundaries exposed to the application layer.
Which is to say that, yes, the repositories are responsible for taking the snapshot of state from the data store, and building from it the graph of entities and values that make up the aggregate.
The API of the repository only exposes an aggregate root, because that defines the consistency boundary. Instead of allowing the application to reach into an arbitrary location in the graph and make changes, we force the application to communicate with the root object exclusively. With this constraint in place, we only need to look in one place to ensure that all changes satisfy the business invariant.
So there's no need to develop a repository for each type of entity in your model, because the application isn't allowed to interact directly with the model on that fine a grain.
Put another way, the entities within the aggregate are private data structures. We don't allow the client code to manipulate the entities directly for the same reason that we don't implement lists that allow the clients to reach past the api and manipulate the pointers directly.
In cqrs, you do see "repositories" that are used for things other than aggregates -- repositories can also be used to look up cached views of the state of the model. The trick is that the views don't support modification. In the approach that Evans describes, each entity has one single representation that fulfills all of its roles. In CQRS, and entity may have different representations in each role, but typically only a single role that supports modifying the entity.