Here in the Pacific Northwest US cider can mean either cloudy apple juice, or clear alcoholic beverage, context matters, but it can be confusing.
There are brew pubs here that serve both. Sometimes saying “fresh cider” will ensure the non-alcoholic, and “hard cider” will only be the alcoholic kind.
But if the cloudy juice is pasteurized, shelf-stable - it gets more confusing.
Cider syrup is boiled down cider. I believe its intended to be clear and doesn’t contain alcohol.