re #298:
You are talking about idealized conditions.
It matters which state the sea ice is in.
Square A has part open water but the rest is solid ice damping the wave action. The ice is one block.
All over the ice block it reflects the sun until melt ponds set in.
If the edge is really thin it will melt fast, if it is thicker it will stay a while.
Square B is already open so the first rays of light already warm the water and thus promote convection.
What matters in the long run is that we have more and more of the latter type. There is no one thickness because it is a moving target. It is not either/or since over the seasons we get more open water then we used to have.