Chess has improved tremendously since the 1800s. Nearly two centuries of theory and positional knowledge later, modern GMs are stronger than Morphy by a long shot.
A modern Magnus would have no problems dispatching the resourceful Paul.
But in his era, Morphy was easily the strongest player on the planet. He intuitively grasped the game at a level that the rest of the world wasn't yet ready for.
Who would win?