Here is information from the National Osteoporosis Foundation about exercise and the OsteoStrong claims https://www.nof.org/patients/patient-support/faq

"It has long been known that high-intensity resistance exercise and impact increases osteogenic loading and facilitates bone mineral density acquisition. Several of the manuscripts and abstracts shared by OsteoStrong™ describe the effects of high-intensity resistance exercise using the BioDensity equipment on force production, leg muscle strength, HA1C diabetes marker and bone mineral density (BMD) outcomes in small uncontrolled studies of adults (sample sizes ranged from n=9 to n=21). The larger published studies they shared examined levels of impact loading on BMD outcomes in adolescents, assessed sex differences and learning effects in maximal force production and reported in an abstract that the underweight adults only were able to produce adequate force production for osteogenic loading. None of the studies were adequately powered randomized controlled trials investigating the effects of the OsteoStrong™ exercise program on BMD outcome, and none compared the effectiveness of the BioDensity program to a more generic, high-intensity resistance exercise program. The studies to date do provide preliminary data for this type of large effectiveness trails which are needed in order to change guidelines or make recommendations.

In summary, the scientific community has long known the benefits of high-intensity resistance and impact exercise on BMD. While the high-intensity BioDensity exercise program may be beneficial for increasing BMD in adults, the evidence presented does not demonstrate efficacy of the OsteoStrong™ program on BMD outcomes. Furthermore, we do not know how it compares to the benefits of the current BHOF recommendations for weight bearing and resistance exercise. Further research is warranted before the benefits of the OsteoStrong™ program can be determined."

Good for all of you who do your due diligence when researching claims made. Talk with your doctor, monitor your bone density and find the exercise program that is right for you.