Well, I tried startrek.com with the Mandriva One spring 2008 live CD.
It worked fine. YouTube also worked fine. I checked the Mandriva Flash version. It's the 9,0,48,0.
Maybe startrek.com hasn't upgraded to flash 10 yet? The thing is that when I ran the Mint Elyssa live CD approx. 1 month ago, YouYube wouldn't work, but one or two weeks later it did. So obviously Mint was a little bit ahead of things.
Maybe I will just wait a couple of weeks and see if things work out themselves...
Stop worrying, start breathing!