Wheat Waffles has already proved that being fat impacts you way more than just having a bad face:
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In his
research, he evaluated 1,000 men who sent him photos of their faces.
Only 14% of ripped guys were sub5, against a whopping 93% of overweight ones, with none of the latter group even reaching the 6 threshold.
Sure, there must be some edge cases here and there, but your question would make no sense if both alternatives referred to these cases, so I decided to answer it statistically.