There are two FACE releases; one of them is the extended version of the film and has the pop up logo on the subtitle track. Here's more info: http://www.dvdbeaver.com/film/DVDCompare3/hero.htm
AFAIK Zhang Ziyi is a native Mandarin speaker. There were complaints by native speaking viewers about the accent Yeoh and Fat had in CTHD. From what I've read Yeoh's first language was not Cantonese and started speaking it more heavily when she began acting. In any country there will be...
I've owned the DVD for awhile now but will probably go see it on the big screen. Hopefully it will get an improved transfer, though Miramax's track record hasn't been too hot as of late. The copy I have at least could stand some improvement.