I'm not gonna lie, there are others to make the same point as you.
The chief writer in particular has stated that this is why she RLY wants to reshape Jean Grey, and give her a "proper" development. With the benevolence factor, Jean is shown to have a side that is kind, caring, always thoughtful. Her first psionic bond was with Scott, while he was held captive. She felt his pain, and tried to comfort the child she yet met. But that's one side of her; the other involves relishing in the praise of being an Omega level telepath. As X speaks highly of her, telling her that she has near unlimited potential, and with training, she could do whatever, it goes to her head, which comes out from time to time. She takes issues with those she cannot psionically penetrate, with Remy being her greatest obstacle.
Jean also doesn't always use her powers for the right things; she'll manipulate things psionically to get her way, and we do see repercussions for these actions. Also important, Jean sometimes is a know-it-all, due to her psionic abilities, and isn't always right. One more important factor in terms of her flaws, she's not as compassionate as she believes she is. She doesn't realize how judgmental she can be, and not see the full picture. She came from a good home with both parents, and her upbringing sheltered her from how others' environments affect their behavior (Spyke's and Hope's story is an example). This is another reason she take issues with Remy; she doesn't see the full picture of his character, and her dislike for him, sadly bleeds over others.
U made an excellent point about Jean's character being too influenced by other characters. With this new development, our writers I feel are giving Jean a good foundation for being a character of her own. Her strengths are handled a little different, so we can see her as someone of her own, her flaws help define her personal desires, sense of self-righteousness, and grants her moments of self reflection that, makes her more relatable, and shows growth.
Chief says to her, the biggest problem with Jean Grey IS the Phoenix, and that the Phoenix is the only thing that defines Jean Grey as anything special. So for this series, she prefers to establish Jean as her own hero, we'd see her powers developing and her pushing her own boundaries, and advancing as she does. The idea, is to allow Jean to be a strong hero, BEFORE the Phoenix. The Phoenix metaphor of Jean Grey becoming her own person and realizing her power... I don't think is at all the direction the writers are going with Phoenix Force. I think the Phoenix Force is an entity that would have a narrative of its own, but Jean Grey becomes pivital to that plot, as the Phoenix becomes pivital to a plot she's involved herself in. They bounce off each other in away that allows them to grow into becoming one.
The part u say "Be a badass, be selfish, be the strongest mutant/hero" there's some of this that actually kinda plays into Jean's reimagined story. Chief says she rly kinda wanna remove the drama between Jean and Phoenix, have Jean more embrace the Phoenix as something a part of her, rather than a lot of what comics have done, with them struggling with each other. Let's see her be a full badass, she says. The only major plight and struggle, is between Jean Grey/Phoenix vs. "X-Man/The Cosmic Rival". This plight reveals things on both sides that represents development, growth and revelation.
PF and Jean also serve as vehicles into the more expanded plot of "The Phoenix Trilogy", to which everyone wants something that is simply different, an epic cosmic saga, and while "fixing" Jean's plot of being Phoenix, also introduce something new, and explore that in incremental depth.
The short points you made here are very much in line with what writers want to accomplish, and I love how you brought up the factor of her "benevolence" being more a product of poor writing, than actually a part of her character. I think that's a point for writers, so they CAN give her more shaping with her pros and cons, so she'd be defined as her own, rather than... those around her