Ok, just to be sure we're all looking at the same thing -- do my circles and arrows point to the problem? In the bottom example, I mean. It looks like the reflections and/or shading in that area are different from the original. Although it's hard to say for sure. Somehow, your screenshot looks like it might have cut off a little bit at the left and right sides....maybe top and bottom too. If the entire image
is visible in the "warped" version, then it's a lot more than just those tiny areas, that aren't correct.

Did you use Export Bitmap? If you used Save As Cairo png, that could potentially explain the problem. Export Bitmap would be more appropriate, probably.
If you did use Export Bitmap, then I'm stumped. I would have to look at the SVG file, to try and find the problem. But we have so many wise and advanced Inkscapers these days, such as Lazur, who may have some ideas, without needing the SVG
