It can do, but there are difficulties. Base foams are generally high density poly foams (poly = polyurethane). They absorb heat slowly and release it slowly. Memory foams are made from the same base polyurethane polymer. So all the support layer will do is to provide an even thicker layer that won’t cool down fast enough. It’s better to trap the heat as close to you as possible, rather than allow it to filter down right into the mass of the mattress. Then it would never cool during the night.