The metaphoric fallacy to a deductive inference (MFDI) is an example of incorrect reasoning along the lines of the false analogy fallacy. The structure of the MFDI proceeds from analogously relating two metaphors and then claiming that a property (quality or function) from one compared predicate of the analogy is contained by the other predicate. That is, the predication is treated as being transitive across an analogy between metaphors. The essential problem is not simply covered by claims that arguing from analogies is weak, but that the MFDI proceeds from informal semantical (metaphorical) claims to a supposedly formally deductive and necessary inference.
Fallacious analogical arguments are those wherein the similarity between the two components being compared is questionable or irrelevant. The so-called similarity is neither sufficient nor relevant to draw the conclusion the arguer wishes to make. The argument is referred to as a bad, questionable, or, false analogy.
http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.850.4352&rep=rep1&type=pdf