Another problem we have with those two piece chrome plated nuts is corrosion getting under the chrome and swelling them to the point where the proper socket won't fit. Maybe its just a winter salt problem....
When I started driving, all my vehicles (Chryco products ) had
left hand threads on the left side of the vehicles wheel nuts. Wheels never loosened off.
My SIL borrowed our Hi-Low some years ago. One left wheel (tandem axle) made a quick departure just as he was entering a service station/restaurant. It broke off the black water plumbing on its way. When he got stopped and saw/smelled the problem

he was so embarrassed that he started back down the road on three
tires until the tank drained completely. Then he installed the spare (swiping nuts from other rims) and headed to Canadian Tire....