Two-way binding does not work with page variables

I tried binding an internal component property to a page variable and then using the flow function to set the two-way variable inside the component’s internal logic canvas, but it does not work: the value for internalProps.prop remains unchanged, even though the internal property changed event is triggered. However, changing the binding to an app variable works perfectly. I should be able to use page variables as two-way properties to my components though…