In a signaling model, Type A people can be distinguished from Type B people because they do something that is too expensive for Type B people. One reason this action can be worthwhile for Type As and not for Type Bs is because type As have more to gain by it. A man who really loves his girlfriend cares more about showing her than man who is less smitten. A box of chocolates costs the same to both men, but hopefully only the first will buy it.
But there is another reason an action may be worthwhile for As and not for Bs: the cost is higher for type Bs. Relating some intimate gossip about a famous person is a good signal that you are in close with them because it is expensive for an ignorant person to fake, but very cheap for you to send.
Directly revealing your type can be thought of as an instance of this. Taking off your shirt to reveal your handsome muscles is extremely cheap if you have handsome muscles under your shirt and extremely expensive if you do not.
Katja Grace’s post on cheap signaling seems relevant here: