Nope, MWI is still simpler. The Copenhagen version simply introduces a magical flying spaghetti monster that eats up all the other unobserved configuration spaces faster than light, non-unitarily, etc. That's not really what you would call an "explanation" of the Born probabilities, it's just a magical black box. Many Worlds proponents just say upfront that we don't really know why our experience matches the Born probabilities (and neither does Copenhagen), so it subtracts the FSM from the total complexity. Therefore O(MWI) < O(single-world theories).