>> Storms have been given names since the early 19th century, so your "used to be" here is well beyond the threshold of living memory
My interpretation of the parent post is that it refers to the naming of every typical winter storm during a season, which was begun by the Weather Channel in 2012. I do in fact remember the debate at the time over that practice.
Wikipedia gives only two examples of winter storm names predating 1900, "The Great Snow of 1717" and "The Schoolhouse Blizzard" or "Children's Blizzard" of 1888.
That seems to be a different practice than winter storms Ajax, Bella, Cara, Delphi, Echo and Ferus of the 2021-2022 season.