The difference in definition is partly whether you define based on what it is or on what it does for you. Serverless doesn’t make sense in the “is” description

The difference in definition is partly whether you define based on what it is or on what it does for you. Serverless doesn’t make sense in the “is” description as you note but makes sense in the “function” description (managing the server is not your responsibility). Marketing terms often focuses on the function aspect to do sales. The serverless seems fair, I don’t think no code has followed through on its promises.