It's part of the state of the collection, and also part of the state of the resource. If we try to be neutral, it will be hard to say anything about effect of locks. We have to make a choice. Unix treats it as in collection. In DMA, there is a separate containment relationship object.
Containment is separate from issues of naming.
Each object has its own guid. Every object knows the names of its parents. We could say that a regular expression or complete set of its names is part of the state of the resource, so that you have to check out the resource in order to rename it. Or maybe it's an attribute that can be changed without checking out the resource. Depends where the state of binding is stored.