Ham radio ops have had their information public for years, lot's of expensive radio equipment to be had. I don't understand the issue here.
If you get burglarized, your ham radio equipment probably won't get stolen. And if it does, it's a crime of opportunity, not because someone found you in a database and somehow knew you had the good equipment.
But sometimes criminals are desperate for guns, or the quick cash that guns can bring. You don't want desperate, potentially violent criminals finding out that your house has exactly what they are desperate for.
If they want the cash, they could even prearrange a fence based on the database search. That's a little too convenient.
I think you missed the premise here: ham radio equipment = $$$, open registry of people who may have ham radio equipment available for years, chance of having other expensive things very likely, correlation to crime and open registry of names pretty much zero. The article is just trying to foment a controversy when there isn't one.