I've got a Datasucker. Does a run on empty archives without ice counts as "successful run on a central server"? In other words, if the corp does not have an ice on archives (maybe empty, maybe without face-down cards) do I add counter on the Datasucker for a click?
Datasucker only cares if the run was successful, not if you accessed cards. Runs on an empty archives give sucker tokens, can be used for security testing. There are things that can prevent these effects notably Crisium Grid.