serisouly, blame adobe's code... cause if FF is really the source of the problem... adobe sucks not making their things compatible with it.
.. I can say that ff is the best browser for now, rendering html the best and having the least css bugs.
IE7 is not so bad ! but still to many ppl using IE6 .. IE6 is a pain in the ass for any web developper :D (ok had to say it)
FF is growing every month in % sadly for you
For your bug I dont really know the adobe generated code.
If you know a little about html and javacript .. you could use the JW FLV MEDIA PLAYER 4.0 wich is greatly working. ( i cant link in replies yet, just google it if you want )
Generated code is never perfect

as an exemple, 'dreamweaver' DB auto generated function witch contributed to spread the last sql/xss injection virus ( silent love china, anyone knows ? )
Anyway, wish i could help, good luck with this.