As far as the investigation, Airbnb has claimed that a suspect has been apprehended, but apparently neither the SFPD nor Airbnb have contacted her with any further details. She's not necessarily blaming the SFPD for not having caught the suspect; but she's arguing that the spin that Airbnb has put on this story is untrue, that everything has not been resolved, and they have not been as helpful as they claim.
And why would someone who had just been victimized by someone anonymous they connected with on the internet want to publish a whole bunch of personal details all over the internet? Internet vigilantism is not some silver bullet; publishing more information may lead her to be more vulnerable, not less. Her intent is not to get "the internet" to help catch the thieves; her intent is to warn people about the risks of using Airbnb's service, and that Airbnb will basically do nothing to mitigate those risks.
And it's not like this story is completely made up. Brian Chesky wouldn't have written a response confirming many of the details and contesting none of them if the story were untrue. All he did was try to put a positive spin on it, which this second post demonstrates is just spin, with no real content.