Started rereading Splintered, and I have to say, I was kind of wrong about the relationship with Shaper. It reads more like banter. Though that QA is also pretty different. For one, she seems more respected/feared. Like, when Tattletale comes across QA, her power apologieses and gets her to back off.
Edit: She's also doesn't read as so neuro-divergent. QA as of Sanctioned reads to me as autistic, or the space whale equivalent.
Exhibit A: Sanctioned, last updated over three years ago, 27k words total.
Exhibits B through F: Sanctioned crossovers that warranted their own thread, all started well after Sanctioned's last update, 340k+ words total among five threads, ranging from 24k to 180k individually.
Exhibit G: At least two other crossovers in the author's snippet thread that I'm too lazy to check and add up.
Sanctioned itself wasn't bad by any means, but the crossovers are just consistently more interesting and attention-grabbing.
I think there's three problems why it doesn't work as well for Sanctioned:
One major is that Danny himself just isn't able to help. Unlike Hestia or Lena or the Valkyrie instructors, he doesn't really get how QA needs help, and he also doesn't get QA's respect, she does what he says because of the role she's playing*. So the story can't build on that, which is one of the two major plot threads the Sanctioned crossovers revolve around.
* as far as I recall, it's been a while since I read it.
Second: Sanctioned also can't built on the OOCP nature of QA, because in that story, she's
in her context. She doesn't have that strong a powerset (unlike Splintered, the...preboot? In that's QA's power is literally reality warping, and she kills the Simurgh within a few updates), so she's mostly a parahuman with strange quirks, which is a thing that just sometimes happens. So it can't use the second of the two major plot threads either.
Third: It's a quest, and so her actions are driven by the players, who actually know what's going on. There's roleplay as QA, but the behavior is still driven by OOC goals and understanding. So the biggest appeal character wise can't be fully developed by Sanctioned either.