In my opinion I think it ought to be possible to post-process an analysis in WB provided you have the. In this context WB is a bit more modern and lean to work with.
But when it comes to the GUI what is really the thing you use when post-processing results it is a fact that Classic has not followed the development within the field. However, I have colleagues who wants to make use of the scripts I create (mostly using Perl) to automise complete processes (pre-processing, analysis and post-processing). However, myself I do not use neither WB nor Classic (the GUI) but only the solvers I do my models in Ansa and post-process in Metapost since I think it is the most efficient way to work for my applications.
You are absolute right about the functionality in Classic it is all in there.