Seems to be not working with CloudFlare as well. My CloudFlare setup is pretty straightforward.
domain.com = through server, cached with WP Super Cache.
https://www.domain.com = through CloudFlare.
When I enabled the CDN option in WP Super Cache and define that it should serve static files (.js, .css, images..etc) through https://www.domain.com SLB stops working.
Once I disable CDN option in WP Super Cache, it works again.
Any ideas?