Having yourself immortalized with a paunch indicated you were wealthy/held high office/were involved in derring-do.
Hart's the good ol' boy type: wife, kids, mistress, no-nonsense demeanor, the beginnings of a paunch.
In the male hierarchy of overweightness that runs upward from baby fat to morbid obesity, the paunch is the glorious exception.
late 14c. (late 12c. in surnames), from Old French pance (Old North French panche) "belly, stomach," from Latin panticem (nominative pantex) "belly, bowels" (cf. Spanish panza, Italian pancia); possibly related to panus "swelling" (see panic (n.2)).
paunch (pônch, pänch)
The belly, especially a protruding one; a potbelly.