Frameworks like CodeIgniter are MVA, yes. However, their claims are not wrong since MVA is basically a different type of MVC deployment. Mediating controllers are hit by users which handle the business logic; they also call to the model to get the data and prepare the view.
This is not wholly diverged from strict MVC where the Model and View can talk to each other, so to say it's "wrong" is a bit harsh. I would say it's a different take on MVC.
See CodeIgniter's take on it:
Models are not required as everything can be done in the controller (not advised, obviously). Note that CI (and most other frameworks) say they are based on MVC principles.