I’m not qualified to answer the legal question, but I’ll give an opinion on the ethics of the matter.
Deceiving someone about your identity is different than deceiving someone more generally. I’m not saying telling lies is a good thing. It isn’t. But simply telling someone a lie that leads them to have sex with you when they otherwise wouldn’t isn’t the moral equivalent of rape.
E.g., Suppose my wife and I are about to have sex, and she says “Wait, I think I left the stove on.” If I lie and say “No, I turned it off,” so that she will proceed to have sex with me, this doesn’t make me a rapist. It’s not honest and it’s a potential fire hazard, but it’s not rape or the moral equivalent of rape. She either consented to have sex with me or not, regardless of whether I’d been telling her lies.
Another example: Imagine a man who’d been cheating on his wife. If he told her he was cheating, she would leave him and no longer ever have sex with him. So every single time she has sex with him, it is only because he is deceiving her. Nevertheless, it doesn’t seem reasonable to say he’s raping her. Cheating is morally wrong too, but they’re not the same.
The point is, a person either consents to have sex with you or they don’t. I don’t give any ethical standing to the idea of “consent contingent on you never having lied to me”. If so, the above examples would be rape, when I think they pretty clearly shouldn’t be.
Lying about who you are is different, though, because here the issue is not that they their consent is contingent on you telling the truth. The issue is that you aren’t the person they consented to have sex with. Tricking someone into believing you’re her husband so you can have sex with her is clearly rape in my view. She’s consenting to have sex with her husband, not with you. Likewise, blindfolding her and then trading places with another man without her consent is rape.
I admit that I don’t feel as strongly about the case where you trick someone into thinking you’re Brad Pitt as I do about the case where you trick someone into thinking you’re their husband. But the only thing I can identify that separates the two is my impression that the woman who’d sleep with someone she’s never met just because he’s a famous actor is, well, “slutty.” (I’m not endorsing the word, which clearly has sexist connotations, I’m just trying to give a name to my own biases.) While emotionally the idea of this woman being deceived into having sex with someone else doesn’t disturb me as much as the idea of the woman who thought she was having sex with her husband being deceived, I realize that’s an unfair emotional bias on my part. Really, both women have just as much right to know who it is they’re sleeping with. If it’s rape in one case, it’s rape in the other. And the one woman’s promiscuous behavior in being willing to sleep with an actor she’s never met is absolutely no excuse for rape.