My understanding is that Barlow would classify all of those interventions (identifying cognitive distortions and developing adaptive responses, exploring the client's attitudes, and finally addressing their beliefs) as "altering antecedent cognitive reappraisals." I don't think he's excluding any of them.

If he's proposing a change in CT, it would be an increased emphasis on "preventing emotional avoidance" and on "facilitating action tendencies not associated with the emotion that is dysregulated." However, these both already are important parts of CT (though the terminology is a bit different) and I'm not sure that there's a noticeable difference between what I do and what he's proposing.