Most of PHP software are build without relying on any framework at all. Development of such software takes considerable amount of time and stumbles upon all the mistakes previously resolved in previous web software
PHP Frameworks nowadays focus on a very narrow set of goals such as models, page routing, security and class hierarchy. Those typically focus on the interaction with data in SQL and Files
Agile Toolkit is about development experience. It provides a solid conceptual foundation for your code and extends it to back-end (SQL, Files, Cloud) interaction and front-end (JavaScript, AJAX, jQuery)