actually, if you put a thermometer between the two objects you will get surrounding temps, and not the two objects temperatures. I asked for you to prove it. go for it. post that experiment, put two objects at 10C and put a thermometer between them and give me the reading.
Get some 0ºC liquid water and add some 0ºC ice in a 0ºC environment ... the thermometer in the water will read 0ºC when the system achieves equilibrium ... not sure what you mean by "post that experiment", this is kitchen counter chemistry ... in this system, there are liquid water molecules giving up energy and freezing on the ice, and there are ice molecules absorbing energy becoming liquid, however the thermometer remains at 0ºC because the
net energy flow is 0 ... the melting and freezing occur at the same rate ...
The laws of thermodynamics work for all three types of energy transfer ... including radiation ... this is the principle of how infrared thermometers work ... point it at the coldest object in a system and we'll still get a fairly accurate reading ... this is because the coldest object radiates, just less than all the other objects ... thus we get a
net flow into the coldest object ...