Well do you think the goal (of those opposing Rowling here) is to prevent bigoted narratives from gaining steam (and thus the argument would be whether or not the narrative is bigoted)?
In trying to prevent such things, is collateral damage justified? In this case, giving Rowling the benefit of the doubt (I'm not familiar with the situation beyond this thread), the collateral damage would be the suppression of a narrative created not by a bigot, but by a commentator, a commentator who doesn't classify under the demographics being commented upon.
She did make prior comments about biological build determining gender, no? So that likely, for most people, makes it less plausible to give her the benefit of the doubt - but the above questioning should apply, in broad strokes, to such situations in general.
Just asking for opinions, not for what the Right Answer is.