I agree. Yes you can reconstruct it, but why should you have to? Perhaps an ANOVAAssociation property could be added that included this information. Also, in general the various "...Table" properties of the FittedModel and related objects should be augmented by "...Association" properties or "..."Dataset" that describe the statistic using a key value pair.
Hi Jim, thanks for your comment. Yes, I asked myself the same question, I thought that the F statistic was not used for non-linear models but then I realized that it was, and I had to build it from the information in "ANOVATable".