[X] My Assistant

I have downloaded several galleries using the Archive Download button (some paid and most free) and using the H@H Downloader option.

The question is:
Will these galleries now get shared out through my H@H client like the individual files are shared through the "cache" folder?

If they are being shared, should I leave them in the download folder forever?

They are not re-shared - you can just delete them after you have moved them from your H@H server directory.