That's precisely it. I wrote down a bit more down below.
"Why is it better to write diagrams by hand rather than use a tool (e.g. inkscape, google docs) and export as SVG?
Because it requires everybody that wants to edit the diagram to (a) use the same tool and (b) have access to the original source file (e.g. the google doc)."
for what it's worth, svgs are their own source file, and can typically be edited using any vector editor. I work on a project with several people who regularly trade and collaborate svg's made with inkscape and adobe illustrator without issue. It's possible you meant export as a png or some other non-vector format?