Can this situation be compared to Rickon Stark and Summoning Season?
In Summoning season, you choose an opponent. Is choosing the opponent considered the "cost"? Or is choosing an opponent in almost all cases considered never a cost because there is always an opponent and that will always be a fulfilled prerequisite?
Just trying to make heads and tails with copying effects because if it's considered a cost, then clearly you cannot use Rickon Stark with effects that depend on choosing an opponent to share the search with you.