Decorator Pattern adds new functionality to an object dynamically, usually without compromising the original features. The word decorator in Decorator Pattern does share something with the word decorator in the ES-next decorator syntax, but they are not exactly the same. Classical Decorator Pattern as a phrase would differ even more.
The classical Decorator Pattern works with a composite, and the brief idea is to create decorators as components that do the decorating work. As composite objects are usually processed recursively, the decorator components would get processed automatically. So it becomes your choice to decide what it does.
The inheritance hierarchy could be like the following structure shown:
The decorators are applied ...