Sorry, out of my wheelhouse. I have had the exact results you are having now and the only fix I found was to recreate the file in the opposite direction, replacing the font manually in Inkscape. It was a pain due to my simple knowledge of manipulating different software.
Note that I intentionally chose a simpler text section.
The young should never envy their elders for their skills/experience, for they have paid for them by emptying a purse which may never be refilled.
First job out of college was drawing 40+ hours/week in Adobe Illustrator and Macromedia Freehand.
A text which will help folks out on this sort of thing is:
That said, this file was probably originally done in Adobe Illustrator or CorelDraw or some other program which has a mesh/warping feature, so that each block of text was set, then the perimeter of the text was altered using the feature for reshaping the interior based on that.