There might be a misunderstanding here. Headless CMSes don't mandate deploys, that's only if they're used in conjunction with static-site generators. A headless

There might be a misunderstanding here. Headless CMSes don't mandate deploys, that's only if they're used in conjunction with static-site generators. A headless CMS is just a CMS that provides content as structured data over an API rather then pre-bound to a rendering layer. You can use WP as a headless CMS if you use its content API.