|Hmm, to the best of my knowledge, WAP does not support flash. However I'm not really certain.|
But, you're saying it never works right in a browser?
Check the 'Net' panel - do you see the network request for the FLV file?
Sometimes, though, videos downloaded thru flash will not show in the firebug console, if you don't see it -
Start a capture, reload the webpage
Trace the connection - is the FLV being requested? What is the result?
My guess is - the FLV never gets requested from the server. Is that what's happening?