Your graphic uses the same larger type of metric of greenhouse gases as does the Nature article. If you click on the greenhouse gas equivalents bit in the header where the figure came from, it makes that clear:

Carbon dioxide is the most important greenhouse gas, but not the only one. To capture all greenhouse gas emissions, researchers express them in “carbon dioxide equivalents” (CO₂eq). This takes all greenhouse gases into account, not just CO₂.

You're not wrong about meat not comprising two-thirds of any person's total GHG emissions, and I've never suggested otherwise. I just wanted to provide a better source of information than that graphic.