SWF flash files are often used as players of FLV streams (Adobe Flash player is often used for this purpose). Flv streams have different URLs (http://, https://, rtmp://, rtmpt://). URL Snooper is not very good at finding RTMP URLs even after adding "flv;rtmp" to the "Also search for" edit box.

Demo versions of Replay Media Catcher and FLV Recorder can find the RTMP URLs. They can also record RTMP and HTTP flash video .FLV streams automatically. The demo versions are limited, but they allow you to evaluate whether the programs will be able to record the streams or not.

SWF flash files can get external content like a bunch of images. So there might be some other way of broadcasting video through the SWF file, but I really doubt that it is done this way on web-sites like this one.