My understanding is it’s actually the opposite, due to impacts to AMOC:

https://www.nature.com/articles/s41598-018-29226-8

In today’s warming climate, the persistent North Atlantic cooling anomaly off the southeast coast of Greenland is thought to be caused by the accelerating input of meltwater from the Greenland Ice Sheet (GrIS) and considered an indicator of a weakening of the Atlantic Meridional Overturning Circulation (AMOC). Modelling studies suggest that increased freshwater input from Greenland has the potential to slow down AMOC in the future, thus substantially weakening heat transport to the North Atlantic and potentially driving positive ice sheet-ocean feedbacks

Basically, the melt reduces surface temps, and slows the AMOC (bad):

https://oceanservice.noaa.gov/facts/amoc.html

If the AMOC does continue to slow down, however, it could have far-reaching climate impacts. For example, if the planet continues to warm, freshwater from melting ice at the poles would shift the rain belt in South Africa, causing droughts for millions of people. It would also cause sea level rise across the U.S. East Coast.

EDIT: I am no expert here, for context.