Heat transport at nanoscale is of importance for many nanotechnology applications [1]. Considerable efforts are nowadays to discover new geometries with a huge number of internal interfaces and thermal barriers in order to increase the thermal resistance and/or manipulate the heat flow. A common material used to achieve these requirements is the synthetic opal, a special 3D Photonic Crystal (PhC) widely used in nanophotonics [2,3,4]. One of the most intriguing and relevant open question is how can heat be diffused in these nanostructures. In principle the heat flow should be reduced due to the huge numbers of internal interfaces and thermal barriers, but an exact answer is not trivial because the heat transport at nanoscale may differ subs...