I believe what they are trying to convey is that the core shouldn't be used for making routing nor filtering decisions (that's what the distribution switches are for).
The Core should be Layer3 capable but its main function is to forward the traffic (read: Layer3 switching above).
Just think of the Core as a typical FireWall. It's there to inspect the packet but you wouldn't have a FW as the default gateway making routing decisions for your network, would you ?