Reversed places

[Eönwë]

Yes, Faramir wold have definitly let Frodo keep the ring. As Denethor says, he listens to Gandalf and is a "wizard's pupil" (which is probably good, because the wizards were Istari, divine Maiar), so he would have listened to Gandalf and done what he did in Ithilien. But as Mithalwen said, without this betrayal the whole story would fall to pieces. None of the important events would happen, and Frodo might not even get to Mount Doom. Also,people would forget the susceptibility of the ring, which could be a deadly mistake.