@Anna C I think most of what you said there is spot on but I want to push back on the idea that the body only knows "tension, that the muscles create on the bones".
True, bones only 'know' pressure. But that includes gravity. Hence the above example of astronauts having to train so much. And when you load the body with an external weight, you load ALL of the bones that link the weight to the ground.
A quick look at the research annoyed me because it disagrees with what I'd like to be true. Hate when that happens. Seems bodyweight activities such as running, swimming, soccer etc result in similar bone mineral density compared to lifting weights. At least in some cases and, of course, it's unlikely the lifting groups were Strongfirst trained.
So re:the original question, bodyweight probably fulfills your minimum effective dose for bone density. As long as there's something impact-y in there (soccer beat swimming for lower limb bone density so there's probably some secret sauce in the running/landing part of it).
Personally I'd always include swings and carries for a client who can tolerate them and who is concerned about bone density. Moderate load, very recoverable and doesn't have to take a lot of time if you prefer bodyweight.
way analysis of covariance with age and body mass index as covariates and group bone mass density (BMD) was compared to the World Health Organization's (WHO) normative values for adult females. Results: BMD was significantly greater in the soccer group compared to the weight lifting (p = 0.025)...
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