On my NVR with built-in PoE (16 channel) I think the first 8 are POE and the second set of 8 are not PoE and this makes me wonder if on the 8 channel the first 4 are PoE and the second 4 are not PoE so that this PoE switch that @wittaj is talking about is plugged into a non PoE port. The only reason I have to doubt this might be that he says he has 5 original cameras before the PoE switch that's plugged into port 6 on the NVR.
It is actually my neighbors, but it is an 8 channel NVR - he had used all 8 channels previously (the NVR was supplying power to each camera and each port) but after having the cameras up for awhile he realized he was missing some key areas and/or wanted overlap coverage, so we gave it a try of doing what I said above and his system works. Again, maybe it isn't supposed to have that capability but it works anyway?
Plus under your scenario, if ports 1-4 were POE and ports 5-8 were not, then camera 5 wouldn't be working in that scenario and his previous camera connections into ports 6,7,8 wouldn't have been working either.