Regardless of whether or not the band was there, she was supposed to be there by said time so you'd think she'd make sure that she was there and deal with the consequences by either going on solo and/or firing whomever was not up to snuff. After all, it is her name solely on the bill. Bottom line, this all reflects poorly on her regardless of who was at fault unless she was cool enough to save a bad situation if that be the case. Sounds to me like she was the one who fucked up and is blaming others for her incompetence. All speculation of course, as I don't know the facts.
Also, the 9:30 Club runs an extremely professional business. Odds are that they were fuming and running around doing everything in their power to get the show onstage on time. As professionals, they do this behind the scenes so that it doesn't become a part of the customers' problem. That wouldn't make for a fun time for the audience and it reflects poorly on the musicians. Believe me, they cover up a lot of shit that goes on behind the scenes that never makes it to the crowd or this board. Like it or not, that is part of running a professional establishment.
Would you prefer them to slap a wig on ThatGuy and make him go onstage and sing her songs to hold you over?