Actually it would, 850mb temperatures at T+96 - T+120 are -7 widely across the country. In addition, towards T+168, there would be renewed chance. T+168 is very similar to the the pressure readings in January which delivered snow showers at 1025 - 1030mb - giving 5cm in several places in the East of Ireland. Granted it's not as good as UKMO/GFS, but it certainly would deliver snow showers into the East, albeit light in nature, on some occasions between T+72 and T+168.