It may appear that way if it was unevenly heated, causing pockets of boiling water surrounded by comparatively cool water. This would make it look like it's boiling, but then, when mixed, it is then much cooler than if heated by a kettle that relies on convection to mix the water.
It doesn't cool down faster. That makes no sense.
Listen I can't prove it, but I swear on my mother it does
It may appear that way if it was unevenly heated, causing pockets of boiling water surrounded by comparatively cool water. This would make it look like it's boiling, but then, when mixed, it is then much cooler than if heated by a kettle that relies on convection to mix the water.
You can prove it by boiling the water in different ways, putting a thermometer inside and then filming/timing it :D