Unless someone happens to know about a common error that causes that symptom, your best choice is to post the actual part file here. That way, we can examine it to see where something went wrong.
Not (just) the svg file. Post the .fzpz file. That contains all of the svg files for the part, and the .fzp definition. Those interact to create what Fritzing works with.
The 2 file.io links you posted do not work for me. I just get 404 not found errors for them. The svg image works, but as far as I can see, no image is embedded in that. It just contains the pin graphics. It also does not contain the “breadboard” view label, so even if the rest works in Fritzing, it will will be blank (not even the pins) when exported.