Same problem here,
After some research it appears to be a 3 years old bug from mozilla as stated before by @Amalgovinus.
We found a solution for this perform a POST request instead of a GET request inside the flash.
You must also pass a faked data as flash will automaticly change your POST request to a GET if there's no datas to send along the request here's a flash code sample to make this work:
var url = "http://exemple.com/myNotHotlinkedSong.mp3";
var myRequest:URLRequest = new URLRequest (url);
myRequest.method = URLRequestMethod.POST;
// add some data to the request to force the use of POST inside flashPlayer
myRequest.data = "fake=fake";
We're now happy to be able to use our .htaccess to avoid hotlinking even in FF, hope others will find this helpfull.