True - there is a causality issue at stake here. Does the person or the language change the other? I'm not sure how important this question is in practice, however, since our experience of ourselves is always mediated through language. Change in one necessarily implies change in the other.
The article referred to language in a broader sense that spoken words. Language, as it is written about in the article, has more to do with how we have internalized the demands of the Other (beginning with our parents), and how we must learn to articulate our experience first and foremost so that others understand what we need. We then learn to interpret our own experiences via the Other's language.
There are many 'first places' to intervene, yes, e.g., exercise and diet like you've stated. I suppose what comes 'first' is rather arbitrary, and more of a point of view of the person and what is needed. I've personally found that shifting my vocabulary (and most importantly my relationship to my vocabulary) opens me up to being more sensitive to, like you mentioned, ambiguity.
Does that address the issues you've raised?
Thanks for the podcast!