No, there's no evidence to suggest it's an attraction based solely on power and fear. Some of them like NAMBLA and PIE seem to think that it's society that's messed up rather than them which would suggest that there's a stroke of normality to it in their heads. Or rather they see it's not accepted by society but believe it should be, meaning that it's not an aggressive power fantasy. Aggressive power and fear fantasies whole point is to work outside the lines of acceptability, the fact that these people are trying to convince it's acceptable rules that out.
As I said earlier, from everything I've read about it it seems to be a sexual compulsion formed early on in development and effectively hidden throughout late puberty and adulthood. There was some research that suggests it's a "cross wiring" in the brain whereby instead of seeing a child and hitting a nurturing instinct, they fire a sexual instinct. The important bit here is that being short and left handed are both hugely over represented in the paedophile population and both of those are decided in the first trimester of development which logically could suggest that this is determined in the same way. Maternal stress in the first trimester has been pinpointed as a possible cause, as has usage of psychedelic drugs in early pregnancy.
Interestingly (wrong word but you know what I mean), there are heterosexual and homosexual paedophiles. It seems to run across normal sexual gender lines which would also suggest it's something of a brain problem rather than a development problem.
And therein lies the problem though, we don't know if all of that is accurate or bollocks. People who study it say it seems to make sense but there's a round agreement that nobody really understands paedophilia because there's no safe way for a paedophile to out themselves without losing every single job, friend, family member they have and putting their relatives through the hell of the backlash from those group one dickheads.
This is my irritation with the hang 'em high lot. We don't know how to solve paedophilia as an issue in society, we all accept that. Their version forces paedophiles to be less forthcoming, to point them towards the criminal groups rather than allowing them to come forward and participate in studies that can help people understand it and actually stop or at least prevent it from occurring in the first place. The hang 'em high lot are unknowingly making the world a much more dangerous place for children and they're ok with that as long as they get to have the fun of somebody they don't like dying.