I am not exactly sure what this is, but I have a hunch it has to do with leftover CDN configuration files either from W3TC or another CDN setup. When I check the Source Code of the website I see that W3TC is still caching files on this website (see below). I do not believe you need to whitelist anything and instead need to fix whatever this issue/problem is.
See this website for instructions on how to manually remove W3TC: http://www.tech-recipes.com/rx/36504/wordpress-manual-uninstall-of-w3-total-cache/
Notes: Turn Off AutoRestore while manually editing or removing files on the website. Your root .htaccess file and your wp-config.php file should be unlocked for W3TC manual removal or manual file editing. After you are done manually editing or removing files go to AutoRestore and click the appropriate (whichever folder you were changing/editing/removing files under) Delete Files button to remove old backup copies of files that have been removed from the site and then click the appropriate (whichever folder you were changing/editing/removing files under) Backup Files buttons.
<!-- Performance optimized by W3 Total Cache. Learn more: http://www.w3-edge.com/wordpress-plugins/ Served from: [domain name removed for privacy] @ 2014-03-12 10:12:07 by W3 Total Cache -->
General Help Info: The BPS Pro Plugin Firewall protects the WordPress /plugins folder. The BPS Pro Uploads Anti-Exploit Guard (UAEG) protects the WordPress /uploads folder. To whitelist things for the Plugin Firewall you would use the Plugin Firewall Whitelist Text area. To whitelist things for UAEG you would edit the UAEG .htaccess file on the htaccess File Editor page.
http://forum.ait-pro.com/forums/topic/uploads-anti-exploit-guard-uaeg-read-me-first/