Looking at the following diagram (which explains MVC), I see unidirectional data flow.
So why do we consider MVC to have bidirectional data flow while justifying Flux ?
Because in Javascript frameworks the MVC does not work the way you depicted. The UI generally communicates bi-directionally with the model, as in:
In Flux architecture, the UI would only fire an independent action with type and associated data to a dispatcher which would then update the model the same way any background ajax method would update the model.
Reference: http://www.thesoftwaresimpleton.com/blog/2013/03/23/client-side-mvc/
"Client Side MVC is completely different than Server Side MVC"
"We are setting up a two way communication between two objects..."
"In short we are wiring together the value of the firstName property of the Person object to the value property of the input."
http://guides.emberjs.com/v1.10.0/object-model/bindings/
bindings in Ember.js can be used with any object, not just between views and models.