This is nonsense advice. Would you take the advice of someone who recommended never driving because any level of driving risks death? That's obviously stupid. Or it should be anyway though I suspect some pendants will try to argue it. If you're one of those people what about never going outside? The sun's deadly rays might give you cancer and there's no safe level of sunlight!!
Risks are about trade-offs. If the American Cancer Society wants to be helpful and actually listened to they need to provide practical actionable advice, not this cop-out.