Even though they know that most cervical cancer is caused by HPV they do claim smoking causes it every time they push for smoker bans and increased taxes on tobacco, and any other anti-tobacco measure they push for. I have sat through more testimony on anti-tobacco legislation made by representatives of the ACS, among others, listing diseases caused by smoking and cervical cancer has always been on the list
I can not tell you how many times I have countered such an argument with the fact that HPV causes most cervical cancers and have been told I have no clue what I am talking about. Representatives of the ACS will and do claim, different causes for specific cancers based upon what legislation they are currently lobbying.
Again, smoking is an independent risk factor for cervical cancer. This is not even controversial. If a woman has never acquired an HPV infection she is at no risk for cervical cancer no matter how much she smokes. But if she is infected smoking raises her chances of cancer by a factor of 2-3. Please show me where the ACS has said anything different. Perhaps in an offhand statement someone has (correctly) listed cervical cancer on the list of smoking related malignancies and that is what you are referring to.