Personally, I'm more inclined to believe the media in this case. I read through the "myths about Terri" on that site, and some other things. Even though they don't explicitly say it, I'm pretty sure that site is run by conservative Christians (see the "keeping the faith" section, where's there's a way to share a prayer about Terri), who are definitely going to be biased. Sure, the media can be biased too, but I have yet to see any of the media give the sort of information in that site.

We'll probably never know what's really going on with her. It's just a matter of who you choose to believe. From what I've read, I personally am of the belief that she will not ever recover, and that she cannot understand things going on around her. But, some people think she can understand and just can't communicate it.