"But wouldn’t the two coils reverse-orientation make the coupling constructive?" - BBrinkman
I'm not getting why you would want to stick L12 and L13 together? If it's for temperature tracking I'd be much more worried about coupling. Constructive or destructive coupling would most likely be bad here.
I learned a lot about coil coupling via Inca, a small coil simulator. Find it here along with a couple of useful papers:
http://www.coe.ufrj.br/~acmq/programs/
It doesn't take a lot of distance for coupling to fall to almost nothing, though even a little might be a problem. High Q resonances at the same (or close to the same, the meaning of which depends on the Q) frequency can couple quite easily over larger distances (hence radio).