Local Seo and traditional Seo are distinct terms.
Traditional or organic Seo pertains to keyword selection, having a presence on social media platforms, connecting with 3rd parties and building links. Through a globalized approach, traditional Seo helps companies to raise their online visibility. It can include Local Seo services, but it is not mandatory.
Local Seo targets specific geographical locations, companies have to optimize themselves for location-specific keywords. They can target new prospects in their vicinity through Local Seo programs.