Elisabeth at autempledesmodes.blogspot.com kindly provided me with this image of the apple-green bodice that I referred to in my earlier post. It is located at the Musee Galleria musee de la mode de la Ville de Paris.
The bodice does not appear to have any padding. I guess I was wrong. But I will make a point of going to the Museum of Fashion in May when I visit Paris to take a closer look (if it is on display at that time)!