On top of the other issues with Reade's story, you also have the matter that Reade falsely previously asserted that MSNBC did not/refused to invite her for an interview while MSNBC is now confirming they previously had done so but she declined the interview.
Now maybe this could be somehow explained by a miscommunication by someone associated with Reade, but Reade has yet to explain the situation, and it appears she also made an at least misleading assertion in relation to the Washington Post's willingness to interview her.
Given none of Reade's possible witnesses backing her story are actually eyewitnesses, Reade's inherent credibility as a witness does apply and making a different basically provably false claim is an issue at this point.
(While theoretically MSNBC could have made an intentionally false claim with respect to an interview, in practice they clearly would not have done so given the extent of the potential massive blow-back if they got caught, and that they could be subject to discovery proceedings with respect to evidence since Reade could potentially pursue a libel lawsuit against them for a knowingly untrue claim like that at this point.)