Really? The reason that the glaciers are receding from inland Greenland is because the ocean is sneaking over there and melting it?

The point is that it's the air temperatures that is melting glaciers. If the glaciers slide away more quickly, cold water will enter the ocean at a much quicker rate.

So yes, if you put a liter of 33°F water in your ten liters of 60°F water it'll cool down faster than if you put one ten mL 31°F ice cube in every ten minutes.