Thermal wool has about 6 hours time lag and almost no thermal mass. The downstairs doesn't have a roof over it, so that's probably why. Typically attics/penthouses are the worst because they're sun heats them up through the roof all day long. So, white roofs, little to no thermal mass, ventilation is a solution in your area. Concrete also heats up badly and then releases the heat if it's exposed to sunshine.