I think so but its also alot to do with manipulation, at least what I remember because with certain conversations you'd be told that basically you want to try this or to talk about this and that they have your best interests at heart, yadda yadda
what bothers me so much is that I felt I wasn't getting attention at school at the time and didn't want to talk about how lonely I felt with my family as I worried they'd feel they let me down, so I went elsewhere to find people who'd give me the time of day and compilment me but not too long after I realised people were basically too scared to make physical contact (this was all done online and by phone etc.) because they knew why they'd be visiting and worried they'd get in trouble from the authorities (this was pretty much said as such at one stage), I realised they were never that interested in me as a person and I realised I'd let my family and myself down, I disrespected them and all the rest of it.
If I went into too many details, I have no doubt people would label me a whore or some such but ultimately, I did what I did because to me what I wanted most was the basic conversations that started off with the other person seeming to care how I was, it just escalated alot from there because they knew I felt curious and boys my age didn't seem to notice me *cringe* and they wanted to help share something special and said they'd never hurt me but would always be there for me or whatever terms were used, ugh
I was 16 but even so, honestly, the whole thing was like, wrong, it just took me a while to see things as they really were. Such people say they'll give you this whole future, whatever you wanna hear but never have the what nots to even show up...got to love teenage naivety (on my behalf) seriously lol
I actually even tried to confront my mum earlier this year to say I wanted her to know I did some things I regret, when I was younger but she said she doesn't need to know and all that matters is that your youth is there for you to make mistakes and learn from them, if you don't then whats the point? so its fine, move on and I guess ill try - it was a relief to hear that in a way
anyway enough melodramatics, ill shut up about that now
I definitely agree that alot of it is to do with authority and manipulation, as you said they like power and control maybe for some like Savile more so than the sexual side of it.