Sadly no, it's the same method that I tried.
Could you maybe help make sure future versions of Flash has this feature?
Right now I have to export to SVG, import in Illustrator, reset the font family for all text frames and then do some manual adjusting to make sure the texts don't get cut off due to wrongly sized text frames (apparently Illustrator doesn't have an equivalent to InDesign's "Fit Frame to Content").
Never been a big fan of Illustrator. I find it way complicated, although I do acknowledge it must be indispensable for people who are into fine arts. In my opinion Flash is way superior for clean, simple and straight-forward webdesign and I really wish Adobe would market it more.