Is a Headless CMS worth for an eCommerces and LMS webapp?

I've been looking some headless CMS for a project i have in mind. It consists in a eCommerce site and separatly but under the same domain, a LMS (selling courses) web app. To save time on development and make it user-friendly to the products manager, i thought in a headless CMS to manage ONLY the products. I was looking into Contentful, Hygraph, Strapi, Sanity and other but something keeps coming into my mind.

Is it really worth it a headless CMS to handle this types of products?

Are the bandwith limit enough to handle the request?

I took in consideration how this headless CMS handle the requests by using a CDN with caching to save resources.

I wanted to know from your experience or knowledge your thoughts, suggestions, recommendations or if you have questions to clarify something, feel free.