Pretty much anything the media says is wrong. About the same as Hollywood gun handling.
In the world of real shooters, it's reasonable to call such as the .22 Hornet "low-power", in comparison to such as the .270. By that standard, the .223 and on up to maybe the .30-30 are "medium power".
Such as the .308 and others of similar performance get into the "high power" description.
These are but approximations. I don't see much point in arguing about this cartridge or that, when it comes to which group it "really oughta" be in.
A problem for the media is that they've rarely even heard of such cartridges as the .22-250 or the .220 Swift. If a cartridge is "military", the media mind has it that it MUST be "high power". Unfortunately, that's also the case for too many of our politicians at all levels of government.