The Big East Tournament started including all 16 teams back in 2009. Here are the betting numbers for those teams "rested and ready" vs. teams that played in the opening round. Despite the rest and extra time to prepare, the bye teams have performed worse each of the last three tournaments. Not a lot of data to work with but oddsmakers are once again likely to shade the lines in favor of those that didn't play in the first round.
Second round top seed
2009: 4-0 SU, 3-1 ATS
2010: 3-1 SU, 2-2 ATS
2011: 2-2 SU, 1-3 ATS