The fact that we never see the faces of the sex workers has less to do with "protecting their identities" (they are cartoon characters!) than reinforcing the distinction Brown makes between free sex line and paying for sex. The sex workers are presented as ordinary people providing a service. After...
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his first time with a prostitute, Brown is exultant that the whole thing, which he had severely stressed over, was handled in such a straightforward manner. He explains to his friends that "Carla" was not sketchy in any way, but was "nice." Once he got over the initial problem of getting to see Carla, his experience was free from the anxiety that characterized his relationship with his girlfriend.
In a sense, the facelessness of the escorts underlines how he is not romantically linked to them. It is as if their faces are a part of their personal life that he has not paid for. On the other hand, the facelessness also emphasizes Brown's obsession with having sex. That is, the purpose of having sex is physical relief, rather than emotional closeness. This is a central theme of the comic, and one that is deeply problematized. In this sense, the facelessness can be seen perhaps as a kind of lack of moral courage (an inability to look these women in the face) or as a measure of respect (Brown has not earned the right to depict their faces).