The way I understand the word 'Primal' as used in most cases seems to signify a diet and lifestyle that is suitable for our primal (i.e. initial) origins, not one that directly mimics any particular time period or food categories or processing methods, which can at any time include fermentation, cooking, or machines.
THE Primal Diet seems to be somewhat different in that the diet itself goes beyond even those categories into very specific protocols nested in the idea of curing specific disease. Often these are tailored to individuals who may have diets as divergent as no-meat to diets containing regular does of adrenals, testicles and eyeballs. Likely as mentioned, it consists for most dietarily of muscle-meats (from a wide range of animals), dairy-fat, and a largely fiber-less intake of supplemental plant foods.
Often using the word 'primal' would include dairy or other types of foods, as long as they fit this category ( you could even include foods like ACV or other fermented foods and or neolithic fruits into this category), although there are dairy free 'Primal Blueprint' dieters, as well as people that do AV protocols that don't otherwise do dairy.
Natural hygiene and THE primal diet of Aaajonus Vonderplanitz are the two most divergent philosophies I've come across in natural (raw specific) health.
the only way to organize principals from these ideas together would be around issues that many raw paleos would also agree.
that of commercial supplementation being useless->dangerous (although Aajonus believes in raw un-packaged food based supplementation (juice, coconut cream) and otherwise raw products like ACV etc...),
parasites (although many hygiene camps specifically ignore animal foods of course, they do not recommend any treatment or cleanses other than extensive fasting),
enzymes (including damage done by both freezing and cooking),
salt (both see it as deadly poison, except possibility in small theraputic doses by AV),
medical and alternative therapies such as cleanses as being either harmful direcly or as in removing 'symptoms' from poor diets (colonics, products, liver cleanses etc..)
and potentially water (although they can be as different as they are equal on that issue. NH recommends getting hydration from plants, AV from some plants but mostly raw unfrozen fats. NH seek out the most purified and distilled of water for 'cleansing', AV the most mineral dense waters that don't pull as much minerals from the body)
the main guiding principle behind hygiene or the universalized and depersonalized "The Science of Human Health" is that there are NO specific treatments, foods, or combinations of foods that act on the body in any beneficial way. That the body is self healing and self cleansing given the proper circumstance. That the only method we can exert on the body is to give proper food (as dictated by hygiene) and proper rest (fasting). NH is vehemently against any processing including fermentation and machines expect for rare food prep but not 'ideal' intake.
Aajonus' diet is pretty much the exact opposite in that each specific food or combination of foods is meant to either dissolve and carry out unnatural poisons in addition to being nourishing in that order. Therapies are praised and fasting is not recommended in any cases due to the idealization of nature in ignorance of modern physical facts. Since the diet is specified as having that as its ultimately goal, and going by the word 'primal' as signifying what is said above, and not in terms of trying to re-create any kind of natural circumstance. Therefore any direct questioning of tools or processes is null in these discussions unless one uses 0 modern processes in the obtaining or eating or storing of their food and for living and transport. (and finding that to be the most superior mode of healing).