If all the ice melted and the frost left the ground then the temperatures would be higher.
But the sun doesn't stay long enough to accomplish this before it leaves again for another cycle.
The arctic isn't cold because of the ice, it's icy because it's cold. You've got it backwards there.
That's why the overall ice pack is reducing as the planet (round or flat) heats up due to climate change.
It flips back and forth. When the sun shines 24/7 its the ice keeping it cold and In total dark its the cold creating ice.
Yin and yang.
Its a myth that the over all ice pack is melting. In places it is and others it growing.
The Polar bear has a far greater population now then in the 70's.
This is how crazy the climate change people have come.
Large Canadian Arctic climate change study cancelled due to climate change
https://www.sciencedaily.com/releases/2017/06/170613150651.htmThey plan a trip to study the melting and shrinking sea ice and they have to call the trip off because to much ice. So the only logical thing they can do to save ass is say its exactly what we thought.
You see if they came to the conclusion that the ice is not melting then the funding would stop so the show must go on.