I don't get it.
What is cringey about tradition? Do you wear a wedding ring, OP? That's just tradition too. or do you also sneer at anyone who chooses to wear one?
Dh's family have one. With the family crest on. It's an important (to them, not so much to anyone else
) bit of family history.
BUt then, they have the right to that family crest.
Contrary to popular belief, there is no such thing as a coat of arms for a fmaily name, in general. they are granted to specific families (or individuals) for particular reasons. so often, when someone is (legitimately) wearing a signet ring with a crest/coat of arms on, it is for a specific reason (or was, in history). Which would be why they want to carry on wearing it, maybe 
there are quite complicated rules governing who/what/where/why crests can be worn - it's not as simple as just fancying wearing one, technically. (and generally, people entitled to wear them tend to be interested in genealogy and heraldry, and can spot a fake a mile off)