Skill checks aside, the game doesn't let you remove her from the machine. You wouldn't need a skill check for that. The whole scene and the outcomes are badly designed. It's idiotic the rest of the party are just standing there trying to find clever ways to convince her to get off the machine when she clearly doesn't know what's good for her, and they could simply remove her at any time to save her.
I don't think the other companions ever get actively involved in any situation outside their personal quests, which i find kinda meh. That the player also doesn't have an option to just grab her is stupid. Guess it would be too easy if that option was there,
