Clean URLs breaks export

I've used a broad name and priority critical because that is really what I think it looks to be, after a couple of hours of research.

I'm trying to get csv export of the signup.module views. I've also tried simple views exporting node titles to confirm.
When Clean URLs are enabled I get a «Page not found» (or similar, my site is translated) error.
When Clean URLs are disabled I get nice exports just like I want and expect.

For my site disabling Clean URLs is not an option. I don't think mine is the only one. This really shouldn't be a limitation to a module either.

I have not yet tested on a clean install, but my tests so far seem to identify Clean URLs as the one reason export fails.