The explanation for the rap artists is easy: there isn't any music there regardless of what you play it on. The others are harder to explain. It could be summing the left and right channels resulting in the lead vocal doubling in volume while the other elements remained about the same.
On the car CDP, it could be a 180 degree phase inversion of one channel resulting in the practically mono lead vocal track cancelling out while the more left to right panned instrumental tracks wouldn't.
On the car CDP, it could be a 180 degree phase inversion of one channel resulting in the practically mono lead vocal track cancelling out while the more left to right panned instrumental tracks wouldn't.