I would reframe the question you’re asking. Instead of assuming that the interaction with business man A and B is fake, that it’s done for an ulterior motive, that it requires being inauthentic and suppressing your personality, all of which isn’t part of what makes people connect to each other ask “but did they enjoy the experience and make a friend”. There are known interactions patterns that result in people connecting to each other. If you want to connect with others learn how to.

And the book “the game” isn’t an example of that skill. People that follow those techniques find out quickly that they end up destroying the connections they make really quickly.