After some examination, I'm revising my opinion of the pudge. Your mileage, of course, will vary!
Taking a closer look at the execution photos, it looks like the pudginess is more a combination of the light, his beard (which hides his chin and jaw and softens his face), the rather odd angles, and a bit of digital artifact.
Obviously he put on some weight, but it's not as extreme when you look closely.
The pic with the sword is possibly one of the worst angles for a middle-aged face (some of you gals know this, as I do). As you get older, the skin gets a bit looser, so when you tip your head forward, your face looks like it's trying to drip off your skull. That's really what's happening with him - his eyelids look super puffy because he's leaning forward enough that they are sagging out - same with his cheeks, so his naso-labial folds are even more pronounced.
The fact that his face is not 'in motion' - he's got on his 'grave and serious' expression - makes it worse because the muscles aren't counteracting the gravitational drag . . .
Gravity sucks. Just sayin' . . .