The term 'Winter Coat' is an allegory meant to highlight the warm gained during these colder seasons.
Even though the abbreviated courting cycle may show early signs of incompatibility. The woman would tend to stay in the relationship till the end of the 'final' major holiday event - New Years. At which time, the cycle comes to its end during the Spring season.
The allegory of the 'Winter Coat' is used again, as the warmer weather becomes prevalent - Winter Coats are shaken off and stored away for the subsequent cold weather season.