You are, of course, largely correct. Some of these girls were no doubt willing participants. I also wonder if the “rape” charges might in some of the cases be statutory rape rather than forcible rape.
The lives of young women warehoused in these projects, whether in the USA or UK, are seldom a bed of roses. Physical, sexual and drug abuse are routine for them.
I do suspect, however, that Muslim ideology added a certain something. Dominance over the dhimmi is a Muslim duty. And how better to demonstrate your dominance than by stealing and/or raping his women?
Indeed, as I read the articles, the biggest charge in most cases is neither "rape" nor "abduction", but rather something called "grooming".
Grooming? What is that?
It sort of suggests that these children are not being grabbed off the street, or from some playground, but rather are being treated respectfully enough that not only do they become willing, but also whatever parental & police authorities they have, are also willing to look the other way.
Of course all this is speculation, based on what I've read about in this country, speculation made necessary by the fact that political correctness prevents British media from telling us the "real story" or, if you prefer, the "back story" of what's going on there.
In short, it's a total societal breakdown more than it is an assault by young single Muslim men.