Actually Princeton is my favorite outside offense because your PF and SF can make a lot of threes in addition to your guards. Also Princeton doesn't penalize offensive rebounding as much as motion and run and gun do. If you are a good rebounding team and a good shooting team (especially with good jump range), you can be a very tough with Princeton. Extra possessions + 3 Balls = Win.
Out of curiosity, why do you think that an offense that will produce fewer possessions and more high percentage shots (Princeton) needs more Rebounding than a fast paced offense that will produce more possessions and more low percentage shots (RNG)?