1) Her job has already been automated, thus validating the automation thesis. Her job has/used to have two aspects: ticket sales, and information. Tickets are now being sold by automatons, and she only has to handle the edge cases of people unable to use the machines, or the machine failings. As for information, most people will now use convenient smartphone apps to navigate BART, and she will only handle the few people who don't --tourists or people unwilling to use smartphones.
2) She was a terrible example in that you cannot automate her, since she is precisely what is left after the automation of her job. The work that comes to her is what did not fall into the automated use cases.
The value of some jobs is the human contact, or human interface they provide, and she falls into this category. This is also why we won't automate, say, barmen, or waitresses.
But what CAN be automated about BART, are train drivers (absolutely unnecessary in our day and age), and train dispatchers. They don't do consumer-facing human interaction, and machines would do their jobs better. And in time, they will get automated.