I took it as the latter... plugging the headphone amp directly into the CD player instead of using a tape out or something on a receiver or preamp.
Plugging it into the CD player directly will eliminate one set of interconnects, the jacks, and any active circuitry in the receiver/preamp that needs to be on in order for it to output to the tape out. Most receivers or preamps will have to be turned on in order to route the signal from the CD player to the tape outs. Some, like my previous Counterpoint preamp, did not need to be on... the signal was going from the input jacks thru the selector switch and directly out.
Downside to going direct from CDP to HPA is lack of input switching, and inconvenience of having to move cables, etc. if you want to use the CDP with the receiver/preamp.