The P5's and the Swell do have more down-the-line speed over the Coex, but it's not really push or drive, it's a lack of drag. The Coex has what are called soft rails - they are rounded almost the full length of the board. Water will wrap around curved surfaces and create drag for our typical size wakes and rider weight. It also prevents the board from releasing well, it's like the board is suctioned down to the water.
Both the Swell and the P5's have sharp rails. Water releases very well off of sharp abrupt edges, creating less drag and that sense of being faster.
All things being equal (length, fins, volume, etc) a board with sharper rails will feel faster down-the-line than one with rounded soft rails for most of it's length, for the way we ride behind the boat. For aerials, you'll also want a board that releases well - hard rails, at least on the tail.