I think academics should be allowed to use jargon in their specialist journal articles. It is what jargon exists for! I don't think the BPS model is hidden. This is what BPS papers should be like (according to what is valued within BPS anyway

): exploring the complex interaction between these different levels of explanation. It is true to itself, even if we think it is wrong.
I disagree. I appears to offer fancy mechanisms, but on closer inspection, none of those mechanisms are doing any explanatory work. Its very nice to insert connectionist terminology in your work - and sometimes that's appropriate if you understand it and if it can contribute something - but here it does not help support the arguments being made. If you want to claim that a disorder reflects a complex interaction between physical and psychological factors, then you should say that and explain those factors. It offers nothing to refer to connectionism (which is an entirely different framework that also happens to share the core idea of interaction).
The HPA axis stuff I don't know as well, but it would also appear to me that that's not doing much explanatory work either. What's doing all the work here is the proposed learned pairing of the aversive physical state and physical activity. The hippocampal-septal system is just a way of replacing the term "learned stimulus-response associations" with the names of a few brain parts that may (or may not) be involved in that learning. It doesn't change the concept or add to it in any way. And what's emphasised is the importance of breaking that pairing via exercise interventions. White et al say a very similar thing, but simply and unpreteniously.
I worry about this kind of work more than the standard BPS stuff, because the essentially psychological nature of the account is obscured. Patients can be hoodwinked into thinking they're being offered a reasonable explanation that might lead to real treatment, not the usual psyc stuff.
I've seen what's happening with FND, where they couch their psychological explanations in fancy neurospeak, and the patients think they're getting real diagnosis and potential treatment, but it all just boils down to the same old treatments - reeducation and exercise.