The line speed should be increasing because the casting stroke is a smooth acceleration. As one accelerates, the rod is going to bend and store energy (like a spring). When you get to the end of the casting stroke and stop, the rod is going to unbend and release that stored energy, causing the final acceleration.
Just think of sitting on a compressed coil spring. As it uncompresses, you are going to accelerate that whole time until it's completely extended.
The reason distance casters can cast with so much speed is they can get the rod to bend a lot farther than most.