As plastic experienced surgeons, we are wary of "brand-name" procedures. Straightforward descriptions are best. The procedure you mention uses a combination of fat graft to the breast and a vacuum breast enlargement device (Brava). I wouldn't refer to this procedure or another as "natural."
Fat graft is successfully used in other areas of the body, but can confuse mammogram detection of breast cancer. Careful, multi-year research will be needed to verify that the procedure is safe and effective. Surgeons await such research. Until it is published and evaluated I would advise against having this for cosmetic purposes.
The results so far demonstrated for vacuum breast enlargement show about 1/2 cup size stable result. Fat graft has the potential to increase 1/2 to 1 cup size, if it can be shown to be safe. Neither procedure would provide a breast lift (mastopexy) for sagging breasts.
The FDA regulates medical devices, but not surgical procedures. Plastic surgeons will have independent opinions about proposed new procedures. Early adopters help establish or refute claims among professionals. I would wait and see.