The problem is that Flash will smooth fonts out automatically.
Unless you specificly have to use Lucida, I would suggest you use a pixel font specially created for Flash such as:
and go to the freebies section.
As it seems this font doesnt supprt the antialias beeing off.
I dont hve that font so couldnt see the result, but tried changing it to Verdana in your example and it worked fine.. so it seems to be a Lucida issue rather than a flash issue.
I know that the static text displays correctly and therefore it doesnt make sense.. - also try moving the textbox around to decimal pixel as in : 15.1 etc.. the blurriness sometime goes away this way.