Would the enthalpy of fusion for melting ice fields be a causative factor for colder winter weather? Would the enthalpy of fusion for melting ice fields be a causative factor for colder winter weather?

As an example, NASA estimated the annual loss of the Greenland ice field 2002-2013 as more than 280 gigatons, and apparently increasing.  Would the energy required for state transition on such a scale be a causitve factor in colder weather during a period of warming climate?

UPDATED:  My wording above was too generalized and I got good answers to a question slightly different than the one I intended.  Retry:
According to Wikipedia, one of the vortices of the northern Polar vortex is Baffin Island, very near Greenland.  The recent unusually cold weather in the eastern US has been attributed to the path of the Polar Vortex this year. My question should have been "could the energy required for state transition of the Greenland ice field contributed to the change in path of the Northern Polar Vortex this year?"
Would the enthalpy of fusion for melting ice fields be a causative factor for colder winter weather?


No, for a number of reasons.


Ice sheets melt in the summer and rebuild in the winter. This is winter.
The enthalpy of fusion for water is 333.55 joules per gram. Multiply that by 280 gigatons per year and you get 9.3×1016 joules per year. While that sounds like a lot, it's a blip compared to the 5.5×1024 joules the Earth receives from the Sun every year.
It's not a cold winter. While it has been an abnormally cold winter for the eastern parts of the U.S. and Canada, the rest of the northern hemisphere has been rather balmy. Nuuk, Greenland, for example, is suffering a heat wave. The current (06:38 UTC 21 January 2018) temperature there is 3°C (37° F), significantly warmer than average. The normal high for that location at this time of year is -6°C (24° F).


The melting of all that ice might well have an impact on climate, but it's the influx of 280 gigatons (and rising) of fresh water every year into the northern ocean rather than a paltry absorption of 1017 joules of energy every year that will be the cause.