1. Oh I very much do believe it my love. And yes her conditions to accepting the offer to her by kitty was sleeping with Logan. Doesn't matter what it sounds like. The scans are there and the speak for themselves. Storm told Logan she would tell him her answer under two conditions, one of those was sex. And Logan even asked her was she sure before they did the do was she OK with going through with it, as he realized that her marriage just ended.
2. Ororo was taking orders from cyclops during schism up until the events of AvX. Not sure what your point is but cyclops was leading that faction of the xmen not Ororo.
3. And in all those books that Storm was featured in, including her solo what type of development did she get? How did those stories drive the xoffices? And I have a lot to believe if she was still queen she would be treated better. In black and the crew it's one of the first stories I can recall where we saw her life and her connections to the world totally separate from the xmen. Moreover, in his actual book she is shown as competent, thoughtful and the strong fighter we know her to be. The Wakandans, some worship her as a true goddess. These are the things happening in the bp books, you know actually character development. The same can't be said of the xbooks.
I'm not ignoring continuity because it's not if it is inconsistent with how her mythos was initially established. You are mixing up writers who are expounded upon things established by Claremont with those who completely ignore it. A writer having her say she can't use her powers because there is no weather is someone completely ignoring her power set as established by Claremont. She is a high end energy manipulator at her core, so for instance when she was in hell there was no reason she should have been able to use her powers. Now to the contrary of this, a writer coming and showing her shutting down someone's brain, which Claremont never showed her do, is expounded upon her already established canon. Her energy sight as established by Claremont allows her to see all forms of her energy which she can manipulate, including electrical synapses in the body. The writer who showed her shutting down brains was aware of the stories Claremont write and went from there. All in all, there's a big difference between what you are saying and what I am.
Her being or accepting the position as Aaron wrote it was contingent on him pushing the kids and them having sex(with the cut on the side). She set the terms: