The intent of our feature category logging is:

1. If the worker is owned by a feature category, we log that category.
2. If the worker is not owned, we use the category from the surrounding
   context.

We removed the client middleware step previously because it interfered
with case 2 for metrics, because we could end up putting `not_owned`
into the context. With this change, we add that back, but only when the
worker is owned.