I wouldn't touch a man who'd 'die rather than wear a wedding ring' with somebody else's bargepole.
If they didn't want to wear one for reasonable, genuine reasons, then that's another matter entirely.
The former clearly being being of the misogynistic, antiquated, buffoonish persuasion; the latter not.
DH wears one, along with his watch. Mine's platinum, his is gold because, in his words, 'gold is fitting for the son of a carpenter'.
His father, from good Irish Catholic working class stock wears one. My father, from good NZ middle class stock wears one. He sometimes also wears my late mother's WR as well, such as on my wedding day.
Henpecked? Um, if you say so...