I'd be much more interested in a "secretary" product that openly acts as a gatekeeper and escalates important conversations to me as necessary. But Ghost is named very aptly - that seems to be a footing description for their service.
Assuming that the type of people who they want to block are psychos or people with bad social skills, they will find themselves in 100 times more serious situation when the other party finds out. Even as a normal guy I would feel extremely pissed if I find out that a girl has been playing me with a bot.