I think that most likely will not be the case,Real has only one objective right now for this season and it is the Champions League,they will be playing next week there and I think that despite their opponent looks easy based on their recent form as Chelsea is losing a lot of games,it won't be easy for Real Madrid.They have very slim chances to make a comeback in the second leg of the Copa del Rey and as such I doubt they will be trying hard in this game.The only way they turn things around is if they find a weak and not focused Barcelona but we all know that rarely we see a non focused Barcelona when playing against Real Madrid.
But if that's the case, they are already preparing for the worst possible title loss this season. Even though they are candidates for the Champions League, their path is still quite steep. On the other hand, currently the Copa del Rey is still in the semi-finals, so it's not wrong for them to try more than to keep giving up trophies for Barcelona. I think when they try more, it's still possible to be in the final.