For me it makes no sense to keep a not cached directory in its old state (outdated after moving files) in cases where a cached directory is being refreshed - especially when refreshing is selected in preferences.

I hope this will be changed in a future version.

I deselected caching to see always the actual remote content - especially after switchung between directories.

Directory caching has to be enabled (it is by default) for the panel to reload after background transfer completes.
I have documented this constraint:
https://winscp.net/eng/docs/ui_pref_panels_remote

I did reply to your mail.

Thanks for your report. I cannot reproduce the problem.
I have sent you an email with a debug version of WinSCP to address you have used to register on this forum.

Remote preferences are "Automatically refresh directory after operation". This works for foreground transfers. But when I select
Minimize -> "Proceed in Background" or "Minimize"
then the remote directory does not refresh after moving files from remote to local.