If a special interest group is acting in bad faith, then it is still incorrect and confusing to frame it as "they just don't like that thing". We should just be saying they are acting in bad faith, weaponizing arguments, etc. Why they are against something also is explainable, so ideally we could also state their real motivations (they are racist, fascist, reactionary, etc.)

It's a description, not a claim. If a group tries to ban a thing, it obviously follows that they don't like the thing in some sense. Referring to them as "trying to ban stuff they don't like" describes their behavior, it's not a claim about what their motivations are or aren't.