BIB - Not sure I understand what you mean above - 'rather than anything sexual in many cases'?
Paedophilia is defined as sexual attraction to chldren, the crime is acting upon that attraction - ie. sexually. If it's just a power/physical-but-non-sexual abuse 'relationship', then we're not talking about paedophilia, we're talking about child abuse, which is not paedophilia.
Well, that's the thing isn't it...it's clear from this thread that term means different things to different people.
Child abuse that involves something of a sexual nature will (most likely) be called a peadophilic offense. However, the sexual nature of the abuse might be the offender doing that simply for a power-trip as sex is something that can be wielded as power in both directions and by an abuser/offender doing such a thing they are wielding substantial power over that person.
Having known people who have worked in that area they did say intimate that peadophiles did that sort of thing out of power as well as or instead of 'simply' a sexual thing.