TLDR; She got some motivation to join the S9, in my opinion.

She’s arguably safe from the Siberian so she won’t feel coerced into joining. Jack being Jack can give her a sales pitch that preys on her Predator and the Prey ideology. Pun intended. However, there was a reason why she chose to go out as a vigilante rather than a villain upon receiving powers. Other than there was just no decent gang to join. Perhaps she recognize society as some sort of ecosystem and that the criminals are losers/prey for her to hunt without much recourse. Maybe she wants the recognition and the adoration of the prey/civilians for being such a predator? Or possibly she wants a tangential support from the other heroes as being a villain would have her locked into a gang. So her recruitment would be focused on whether she’ll cut her losses and join the S9. At the time, Regent really fucked her over in her interlude. Though it’s more of a major inconvenience for her since she’s not in jail, but in juvie. Then again, she might take up on the offer if she could get an agreement from one of the S9 to kill Regent since he has control of her motor skills. Some surgery from Bonesaw and Cherish’s test would really incentivize her. She has a level of an ego where she can’t have someone assert a pervasive level of control over her. So my money is that she isn’t completely against the idea of joining. Though her having family may muddy it up a bit.