Reading between the lines here I wonder if how the '32 bodies were originally mounted on the chassis frames may not be common knowledge. m.ralph touches on the subject.
There was no body-to-frame webbing after the kick up in the frame for the rear axle. Both the next-to-last and last body to frame attachments included a fabric-reinforced rubber pad. The next-to-last pad was 1/8" thick and the rear-most pad was 1/4" thick. Even with reproduction bodies and frames, if they're faithful reproductions that's the way they should be mounted.
Even before the end of the model year, stress cracks were appearing at the corners of the lower back and quarter panels of some coupes and roadsters and even some sedans which led to the reinforcing of both the frames and the bodies and adoption of a spring-loaded rear body to frame bolt (like the way radiators were attached) at the rear corners. While much of that problem could be attributed to rough roads of the period, it is still a wise precaution for a car likely to be driven extensively.
Having written the above earlier, seeing Lou's latest suggests the problem lies elsewhere.