You may have better luck embedding as an inline SVG ( see: Animated SVG plays in Safari but not in Firefox - #3 by drewbullen )
The filename is locked once you paste it into into Hype unfortunately. Before you export it, it is within the filename.hype package.
If you copy into a Text editor, you can get the <svg...
code from the SVG file for placing directly within an element. A rectangle works well for this: Insert > Rectangle, then Edit > Edit inner HTML.