Dont get me wrong, i love a decent manual, but it all depends on how you use the car, i really dont see with a car like a 370z and how you will be using it the experience would be diminished by having paddles for the brief moments you would actually think, wish i had bought a manual. Unless you are getting up at 5am for a summer blast, a regular track day attendee, paddles all the way imho.
All that said, go drive a manual and auto, see what takes your fancy, we all have our opinions, but at the end of the day, you are the one thats going to have to live with your decision but dont get caught up in the whole its not a drivers car nonsense because its an auto