Robyn Glaser is most likely responsible for the programs linked to the Patriots that are largely social-forward. Her involvement in meetings was, as suggested by Breer, largely as someone who is familiar with NFL business to be advising to very new people in Mayo and Wolf. I'd argue that the main "personnel" decision in which she probably both offered input and lobbied for, was Jerod Mayo as coach, as they had both worked together for a few years beforehand.
Source:
How Robyn Glaser's role changed after Belichick's departure
The main extent of
soft-control I'd imagine could be that her being big on social justice led to some of the more socially driven approaches to last year, which could've spilled into how Mayo approached media as a friendly figure, which definitely did conflict with his leadership (the constant inability to be clear, the propensity to put his foot in his mouth), and played a hand in culture development of the organization, which could impact actual player development.
That's about as much as I got, though. I think it's a bit overblown. Even if she has input on Mayo being hired, that's still more of an egg on RK's face than anyone else.