A moderate pattern, not a firm finding: across 58 U.S. counties with 10 or more NHTSA owner complaints about parking brake repair, reports run 30% above the national share in the third with the coldest winters against 4% above in the third with the mildest winters. This is an association across counties, not a cause.
Reports of parking brake repair by county, grouped by winter cold (heating degree days). Third of counties with the mildest winters: 4% above; Middle third: 35% above; Third with the coldest winters: 30% above.
Weather and roads act on a car where it is driven, not on a state average, so the county map tests the same mechanism more closely.
Data and chart by CalcScrape: Parking Brake Repair