Maybe no core on that particular one, but that's not unusual on a performance oriented engine. It may be already bored out to maximum oversize, or at least they figure it's going to be abused and probably not suitable for remanufacturing. Basically, they never want to see it again.
Core "charge" is an offer to buy your old part to go into their reman program, usually the garden variety parts that have a high enough volume to make remanufacturing practical in batches. You don't have to accept the offer. You can keep the core and pay the full price if you want to. New or reman parts may have a "core charge".