Is the game different in any way if I chose Jude?

When i started the game for the first time i was given a choice between Milla and Jude (which i assume is the game skipping the title screen and going to New Game) and i chose Milla.

the game then showed Milla and Jude encountering one another just outside the sewer entrance to the lab. further in just before the Lilium Orb tutorial i meet Jude and it seemed there was a bit of story that was skipped over (something about a professor who called Jude to the lab and apparently they're dead).

I am wondering, if i started a new game and chose Jude, would the game be any different as opposed to me selecting him as the party leader after choosing Milla?