Welcome to the forum!
I'm not sure if I can completely answer your question or solve the problem. But I can take a couple of whacks at it.
One problem might be different native resolutions between Blender and Inkscape. Although having said that, I'm not sure what Inkscape's native resolution is. I think it might be 96 dpi, although I should say that I get terribly confused by the terms "resolution" and "dpi". So I might not have that right.
However, if you're talking about vector paths, resolution is irrelevant. When you do whatever you did with the image in Blender, to make it an SVG file, is it still vector paths? Or did that change it to a raster image?
In any case, I wouldn't think different resolutions should result in that much of a difference in size. The other possibility that I can think of is that you might have your Scale set improperly in Inkscape. Did you change your Display Units in Document Properties > Page tab, at the top of the page? If you did not change it, then the Scale setting is not the problem. If you did change it, then Scale might be part of the problem.
Did you say that the image did not even keep its proper proportions? You said it got 4 times taller and twice wider. As far as I know, that could happen if you changed the scale on purpose, and you changed both X and Y values. Although I'm not sure how to un-gray-out the Y value for the scale setting. Or possibly if you changed the Viewbox (just below the Scale setting in Document Properties).
Did you change any of those?
By the way, Inkscape is not a CAD program. I don't think Blender is either. (Even though CAD means, I think, computer aided design, CAD refers to specific type of graphics software - drafting software, I think. So not all computer graphics programs are actually CAD programs.)
Last question. After you changed it from 3d to 2d in Blender, did you confirm that it still was the right proportions? Or could the problem have started in Blender?