Because the charts answer the question, and if you considered them you might realize what the answer is, without accusing me of believing in "insane stuff" or the "La Nina fallacy". The charts diagram the characteristics of La Nina and El Nino. Are they sufficient to allow you to understand how they work? If not, do you have any particular specific questions?
you need to be able to explain where in earth's climate system la nina is hiding the heat.
It's not hiding. Look at the La Nina diagram and examine the thermocline depth in the western Pacific. (Compare to the "normal" condition to make this clearer.)
If you are claiming that the heat moves into the deep ocean during la nina, you need to explain why only surface ocean temperatures are relevant when drawing up statistics.
If your la nina made sense, ocean surface temps would become warmer when a la nina event begins if it is drawing heat from the atmosphere. There is something between the atmosphere and the deep ocean and it's called the ocean surface. Your claim is that the atmosphere and the ocean surface simultaneously lose joules during a la nina.
None of your charts can discredit the laws of thermodynamics, no matter how hard you wish they could.