Having seen the film as well:
The spider isn't embroidered to my eye. It's raised, yes, but BARELY! It appears to be done with a puff additive in a silk screen ink, since it's slightly domed in the center and less raised on the edges.
There's one good shot of it in the film, so don't blink or you'll miss it. But the sun just hits it right so you can see it's curvature.
The web lines also aren't "stitched" they are sunken, yes, but there's no hint of stitching anywhere in them. (Part of that is due to them using CGI either for the suit or to "clean up" the suit like they do for Iron Man. So until we see the movie suit on display somewhere, we really won't even know where the seams are... because I don't remember seeing any in the movie.
-Nick