But the thing is, the image shows the chakra system being cut, only.But if the chakra links are found in every cell, it reasons to say the blades must pierce the top layers to reach the lower ones. To reach the lower cells would entail the blades completely piercing through the layers above it, which effectively busts a cell even if it's not disintegrated. I don't think Sakura's getting hit by the jutsu anytime soon, but it'd put her down if it ever did. It'd damage her badly, and Byakugo could not possibly function without the chakra links that allow her to facilitate moving her reserve chakra throughout her body.
Cutting the chakra system won't affect her because a TSB rod which disintegrates, couldn't impede her regeneration progress.