Evidence suggests that clocks were made by Ford's supplier specifically for Cobras because the front bezel was made of very smooth steel that could easily be chromium plated. The 1962 Galaxie clock's front bezel is usually made of standard mill finish metal,
zinc plated, and dichromated lightly. The rough dischromated bezel of the clock in a Galaxie doesn't show. (There is a 1962 Galaxie cluster on ebay(R) right now that illustrates this.) The very smooth chromium plated bezel of a Cobra's clock is exposed.
It is common to find Galaxie clocks that have been rebuilt and modernized with their front bezels reworked to chrome plate so they can be sold for Galaxies or Cobras.