Well the existance of the "soma", an all knowing, intuitive 'body knowledge' is a very old one in the East and vagal theory is now starting to explain it (as far as science will). It's still necessary to use some cognitive challenge techniques because Western people not of the dyed in the wool philosophy of soma traditions will struggle in the main to master it, but it is useful to try to create a different relationship to thought, that it is simply a process to be observed rather than tussle with each one when it is that tussle that's triggering the illness. It tends to cut the number of cognitive challenges needed as for some people every inter relationship between everything becomes a negative contest.I saw a therapist for a while who'd worked in the NHS for 30 years. He was really into this sort of purely breathing thing and now rejected all the mind based therapies he'd been using before. It was interesting, but as usual no panacea. He had nothing to say beyond do this breathing and monitor your hear then things will improve
Im just starting to look at this vegal theory in any depth (have known of it for some time) but quite excited by it although as you say I don't expect it to be a panacea.