Such a move obscures rather than illuminates. The answer, based on signal theory, is that a message would be discernible as a pattern of difference from random noise. There are socially agreed-upon, mathematical criteria for determining the randomness of a pattern and for defining a unit deviation. But the mathematical definition of information does not define meaning. We can ascribe meaning to patterns if we like, but the patterns don't care.
People can see patterns in anything.
Available energy is energy which we can direct into any desired channel. Dissipated energy is energy which we cannot lay hold of and direct at pleasure, such as the energy of the confused agitation of molecules which we call heat. Now, confusion, like the correlative term order, is not a property of material things in themselves, but only in relation to the mind which perceives them. It is a semiotic act, one which confers meaning. Scientifically defined information is meaningless in itself.