After some more fixing I think that the dress is as good as it's going to get. Not perfect, but good enough. The stiffer fabric alone made for a different look than
the original and if you add the fact that I'm not tall and willowy you end up with a slightly different look. Despite it not being exactly like the original dress it's very much a 40s dress though. The fact that I shortened the skirt to "a little below the knee" (there was a club called that founded in the US as a response to and protest against the so-called New Look) just makes it more typical of the period.

What remains is to finish the neckline, hemming of the sleeves and a little at the bottom of the dress, adding five decorative buttons on each pocket and
ironing. The buttons will hopefully be bought today.