Right, supposing you can have a macroscopic Maxwell's demon. So the claim is not that it is necessarily at absolute zero, but that it does not have a well-defined temperature, because you can choose it to behave (with respect to your finger) as if it were at any temperature you like. Is this what you are saying?
Well, no.
Temperature is the thermodynamic quantity that is shared by systems in equilibrium. "Cup of tea + information about all the molecules in the cup of tea" is in thermodynamic equilibrium with "Ice cube + kinetic energy (e.g. electricity)", in that you can arrange a system where the two are in contact but do not exchange any net energy.
Note that it is NOT in thermodynamic equilibrium with anything hotter than an ice cube, as Eliezer described in spxtr's linked article: http://lesswrong.com/lw/o5/the_second_law_of_thermodynamics_an...
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