[Import / Copy and Pasta] of [svg including paths / paths] change the paths

Steps to reproduce [Import]:

• Open in Inkscape the original.svg It should look like original.png
• Open a new File in Inkscape and import original.svg via "Include SVG image as editable object(s) in the current file
• The result will look like copied.png
• If you include it with "Embeded the SVG in an image tag (not editable in this document)" Than it displays the correct "image". So it CAN be interpreted correctly. (This is also shown, when the File itself is just opened) But as soon as I want paths, the new imported paths are wrong.

Steps to reproduce [Copy and Paste]:

• Open in Inkscape the original.svg It should look like original.png
• Press ctrl + A, than ctrl + C, than ctrl + V
• The copied version again is wrong and looks like copied.png
• (When instead pressing ctrl + D after marking the original the paths get copied correctly! But this does not allow copying into a different document between two Inkscape windows)

Steps to reproduce [Moving]:

• Open in Inkscape the original.svg It should look like original.png
• Just click and drag (move) it with your mouse

What happened?

The copied paths are wrong see

What should have happened?

The copied paths should look like the original see

Notice

The original.svg itself is created by an pdf import. The pdf was exported from a matlab figure. But I would say that this does not matter, since the initial import from pdf to svg via Inkscape does render the paths correctly.

Btw. This is not just a scaling issue. When manually "scaling wrong the paths" back into the plot area, making the background transparent and than overlaying it with the original, the paths still are not equal.

Inkscape Version and Operating System:

• Inkscape Version: Inkscape 1.3.2 (1:1.3.2+202311252150+inkscape@091e20ef)
• Operating System: Linux Ubuntu 20.04
• Operating System version: 20.04

(My firends setup who encountered the issue)

• Inkscape Version: Inkscape 1.4 (current download for windows)
• Operating System: Windows
• Operating System version: 11

Files: