I can confirm the Apple support information is correct, at least in my case. I own a Motorola stereo bluetooth headset that works fine w/my Palm-based PDA phone, both for calls as well as music, movies, etc. And my initial experience with the iPad was equally as trouble-free... UNTIL SKYPE. Not only does Skype not work, after just TRYING to use it with my Motorola stereo headset, the headset stopped working, bluetooth on the iPad appeared to 'lock up' (e.g. I was unable to effectively disable/enable bluetooth, remove the headset and re-add it, etc). The problem created was so bad I had to RESET THE IPAD! (Actually, I had to reset the iPad TWICE as, being stubborn, I decided to confirm the symptom actually was Skype related). I've since decided to acquire a hardwired headset for use with the iPad, as I only want to use one headset and, per Apple, they don't support bluetooth heads for making/receiving calls on the iPad (e.g. for that specific 'Bluetooth profile').
On the plus side, a wired headset will be much lighter and more compact anyway. Plus, if I get a white, Apple headset, I can dance around and pretend I'm in an original iPod commercial. 😉