Heh. Check the Cgd vs. Vd curve (for either device). I think you will find your answer...
Or if you look at both signals simultaneously on the scope, you will see Vds rises only a little during the Miller plateau, perhaps in the 5-20V region; then as it passes, the drain voltage accelerates massively.
Curiously, the Cgd drops off precipitously over the same voltage range. So that's simply it -- almost all the Miller charge is at low voltages.
This helps rather a lot, as it means you don't spend a lot of power taking that time over high voltages instead!
Note that the same occurs as the voltage swings towards the opposite side. This can be seen here,
A similar circuit, using a pair of 50A 600V IGBTs at 120V or so (it was during a lower voltage test). Note the slope slows down as it approaches the opposite rail. This helps to "cushion" the switching transient, as it takes a few nanoseconds longer for the current to transfer from low side to high side. (Intentionally slowing it, by adding chokes in the source terminals, could have unintended consequences!)
If this is an EMI problem, you might consider dV/dt snubbers. These can be made low-loss, if ZVS switching can be had, or by using quasi-resonant snubbers.
Tim