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The playlists that are sent to the empeg, they are just temporary correct? They aren't saved into the Playlists menu option?

No, it works just like if you used the remote to search and insert/append/replace songs, or if you did the same thing in the Playlists menu with just individual tracks. The only thing that gets modified is the current running playlist.

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As to the other question, if I'm in an uploaded playlist and power the car off, will that same playlist come back up when I turn the car back on, or will it be lost?

The tracks are inserted/appended/enqueued/replaced into the current running playlist, so power cycles will not affect it. It is just like if you inserted one track into the current playlist with the menus/remote.
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Mark Cushman