Linen and cotton would be innapropriate lining materials because linings are supposed to be smooth and "slippery". Â Using cotton or linen would be totally against common sense in this regard. Â It would be like lining your pants with fine gauge sandpaper. Â Acetate, however, might work, who knows.
Why do you question acetate? Anything about the material's function? I just checked an old Press suit's trousers that I had lined to the knee. It looks like a material that is natural, and very similar to what trouser makers use for pockets and waistband. Maybe it's cheap or maybe it's not the best thing to use, but I've never really noticed it to be non-functional or a bother....In fact, never noticed it at all really until reading this forum. But such perhaps is the case with a lot of matters sartorial.