Hi Taylor,
I've played Ovation's (pinless) in the past but am currently playing a Taylor 354CE (12string). I think it's nothing more than a matter of personal choice, but here are a couple of thoughts:
1. Why is it that when one snaps a string onstage, the bridge pin flies out and disappears off the face of the earth!!
2. On the other hand. with the pinless bridge it is not possible to capo the guitar at (say) 12th. fret, remove the bridge pins and have easy access to the body of the guitar when necessary.
Brian.