While we're at it we should probably add Cyber Threat to the list of cards that will not work on remotes with Replicating Perfection.
Play this event only as your first (click). Choose a server. The Corp can rez a piece of ice protecting that server. If he or she does not, make a run on that server, during which the Corp cannot rez ice.
Chosen server is a remote.
Corp may rez a piece of ice of that server.
Runner is not allowed to make a run on a remote server, no matter if ice was rezed or not.
So it is legal to play the card, just because it can result in a gamestate change by allowing the corp to rez ice.