Statistics if campaign has automation


I have a campaign, it has 4 links.
All 4 links have automation rules against them to say "If this link is clicked, move contact to list X".
Once the campaign has sent, that stats show nothing for Open and Clicks.
Is this correct?
Is it possible to show the stats for a campaign where all interaction has been moved to a different list(s)?

@Lewis Astell-Brook - If you need stats, you'll have to use the COPY action, since the move action will actually delete the subscribers/stats/etc after the subscriber is copied into new list.