They could argue that if she came forward it would reduce American's faith in their government leading to instability
I think you've been so riled up that you are worried over impossibilities. Judge Chutkan gets a pass at interpreting this, wait and see what she says about it. The kind of arguments you are suggest are wildly implausible and will never pass muster in any court, regardless of appointee. It explicitly isn't the intent of the decision.