Just for fun. Could you check some thermal coupling with weird materials. Or do some test to see if it matters when you use graphite, gold paper, diamond powder or silver.
Daimond would need to be industrial grade fine powder.
Gold could be the gold paper they use in hip and posh restaurants food grade or something, it is super thin and not that expensive.
Silver could be silver foil, should be attainable super thin.
Thin graphite could be an video all in itself. Contact some material science university. They are bound to be working with super thin graphite and willing to do a showcase and look around in the lab.
Thermal Conductivity
Material
Thermal conductivity (cal/sec)/(cm2 C/cm)
Thermal conductivity (W/m K)*
Diamond
...
1000
Silver
1.01
406.0
Copper
0.99
385.0
Gold
...
314