I think they aren't arguing that she wouldn't work with Phase because "le corpo bad" . If anything Phase is one of the few companies she probably likes. Its more about whether admitting to sending this doc would make Phase wary of her for Invaders. It's definitely a possibility, but i think it can be overlooked considering what's happening in Niji right now.
I think her situation, or situation with niji overall, is extreme enough to consider her leak an exception and if she decides to officially talk about joining, they shouldn't reject her simply because of this. One good thing that can come out from her joining is that since she'll check the contract in great detail, and get legal advise from a lawyer, it means Phase's contract is fair enough. I don't think we will see the contract, so this is the best approval we can get as people who believe it's one of the better companies to work for