“As it turns out, Beck’s version of the facts were incredibly accurate”
That’s an odd phrase, “incredibly accurate”. Almost an oxymoron, I’d say.
Also, if Walters was there, she’d hardly have to “check her facts”. She’d just have to check her memory. But I know that’s complicated for old people.
I think the point he's making is that Barbara claimed during the program that she nor Whoopie, nor anyone at ABC asked for, or received special treatment. The author then goes on to quote a spokesman for ABC that states that they indeed did ask for and receive special treatment. At the risk of sounding like a mind-reader, I'm assuming that's what the author was addressing.
As for the "incredibly accurate" phrase, you're right. Accurate is a precise description. While it's possible to be less than accurate, it's impossible to be more accurate. Much like being pregnant, you either are or you aren't. There's no gradations of pregnant and there's no gradations of accurate, IMHO.