Hello,
It is the thermal effusivity and not the thermal conductivity that explains this phenomen.
Let us consider two objects at different temperatures in thermal contact with each other.
The object which has the higher effusivity tends to impose its temperature to the other one.
That's why fakirs can walk (if done fast enough) on hot coals and not on steel plate for example.
We are interested by the contact temperature immediately after the contact.
If we go barefoot (at 37.5 °C) on steel plate (at 60 °C) or on wood floor (at 60 °C) the "temperature sensation" will be different.
The contact temperature for a foot-wood contact is equal to 44 °C whereas for a foot-steel contact it is 58 °C high.
On the other hand if we stay on the wood floor the result is the same.
Regards,
Torpen