Jean-Baptiste was on the roster his rookie year, but was inactive for a lot of games. I think for the Saints it's guys like Pittman or Al Woods, 4th rounders who didn't make it. I don't think you'll find anyone higher than that cut from a team purely for performance-related reasons in their rookie season. It would either be severe injury or personal issues (Dimitrius Underwood, a 1st rounder, leaving the Vikings b/c of religious reasons....look up the guy's Wikipedia, it's wild).