Recently, a random breakage model has been proposed to explain the negative 
correlation between mean chromosome length and chromosome number that is found 
in many groups of species and is consistent with Menzerath-Altmann law, a 
statistical law that defines the dependency between the mean size of the whole 
and the number of parts in quantitative linguistics. Here, the central 
assumption of the model, namely that genome size is independent from chromosome 
number is reviewed. This assumption is shown to be unrealistic from the 
perspective of chromosome structure and the statistical analysis of real 
genomes. A general class of random models, including that random breakage model, 
is analyzed. For any model within this class, a power law with an exponent of -1 
is predicted for the expectation of the mean chromosome size as a function of 
chromosome length, a functional dependency that is not supported by real 
genomes. The random breakage and variants keeping genome size and chromosome 
number independent raise no serious objection to the relevance of correlations 
consistent with Menzerath-Altmann law across taxonomic groups and the 
possibility of a connection between human language and genomes through that law.