CP is illegal everywhere. ChatGPT is a legal app. Replace ChsrGPT with another legal product, like Apple: “I don’t like Apple business decisions so we ban all Apple products from being used in our town”. Apple products are legal. Should they be able to tell you that you can’t use any Apple services in their town?
Imagine if every community could tell you what legal products you cannot use privately within their city limits. It is absurd.
Again you are making arguments that are not equal. Communities have always had the right to regulate sales. That’s why pornography bans and alcohol bans exist. But it is for the sale of the restricted product. You can drink alcohol in a dry county, you just have to drive across the county line.
It is not only absurd, but it is unenforceable without forcing people to allow authorities to inspect their phones and computers or spy on their web traffic.
They do not have the right to create a law that infringes on your personal rights to access legal content. It’s so absurd it’s more likely a stunt to influence ignorant voters than an ordinance they plan to ever act upon.