Hello,
I needed the circle versions, I share them here just in case :




We'll add refresh-circle and sync-circle.
We might want to discuss for 5.0 removing cached entirely as it's name/use is very abstract. It's more of a refresh/sync operation normally.
I have been thinking about cached. I guess the suitable icon to express caching process would be database-refresh :

I would be thinking more as something like that (just tests, not propositions):

However this raises two questions : how comes the refresh modifier is in fact the sync icon, and why all these *-refresh icons are aliased as *-sync ? It may have a different meaning:

(results when searching "refresh" on mdi search bar)
Best regards
I believe these icons should all be sync with aliases for the other uses so I've opened a few issues to update the naming. #4778 #4779 #4777
Most helpful comment
We'll add
refresh-circleandsync-circle.