Yes it does! have you ever read the pcos handbook? think that was the name of it anyway. It did point to anything that can keep insulin in check, low carb does that well. However a green day on sw could potentially be quite insulin inducing, but I have used green days anyway because I just can't face having so little rice/potato etc, I have come to a place now where I have accepted that weight loss is weight loss and slow doesn't mean bad.
Anyways we both know I guess that losing weight will help our symptoms so just keep going!