Can we think of a better name than wrapper, I thought the old names were fine.
Maybe create a new package if we want to reuse them.

Yes I dont like to use *wrapper in names either, but the old names are clashing with original lib classes and can be imported by mistake. Also the actual functionality of these classes isn't caching, they do (un-)wrapping and (down/up-)streaming, so the old names isn't represent what they do.

As an option I can suggest to use *facade instead of *wrapper.

Hi. Imho, it's looks more like adapter rather than facade. I can suggest something like (Coroutine)CacheAdapter.