I was stucked with this problem for a long time (CORS does not work in FF, but works in Chrome and others). No advice could help. Finally, i found that my local dev subdomain (like sub.example.dev) was not explicitly mentioned in /etc/hosts, thus FF just is not able to find it and shows confusing error message 'Aborted...' in dev tools panel.
Putting the exact subdomain into my local /etc/hosts fixed the problem. /etc/hosts is just a plain-text file in unix systems, so you can open it under the root user and put your subdomain in front of '127.0.0.1' ip address.