For this hypothetical situation you would have to inform all your friends and family why you were being DF'd, because they won't say why from the stage. No one would know. If you never came back they would probably assume that it was for apostasy. Plus, we all know the Elders do not keep anything confidential. You would have to let all your friends know that the charges were false, and then endure years of humiliating treatment.
I don't think it would take very long for everyone to know why you were disfellowshipped, either through the loose lips of elders or through your spouse who was still "in"...it's not like your spouse (or any children) are subject to a gag order. Once it became common knowledge that it was for apostacy, I imagine speculation would begin swirling around what you believe, why you're still there, and why horns haven't started growing out of your head and you haven't sprouted a tail and begun carrying a pitchfork.
Some might think you're crazy. But others-- especially after months-- might realize that you're a level-headed reasonable person who is being punished for a "thought crime" and the only thing you've really done is been 100% honest about what you believe in your heart...and you're being punished severly for it.
My thought is that it's easy for JWs to assign attributes, attitudes and stereotypes to apostates because they're never around the prove the stereotype wrong. What if, instead, they're faced with the facts every single time they walk into the Kingdom Hall? (e.g., "I know s/he's technically an apostate, but it seems strange that the only reason we can't talk to him anymore is because s/he thinks the WTS is wrong about 607 BCE. Other than that, it's the same old Sally/Jim week after week."
At the end of the day what you really accomplish? You could get your spouse out, maybe..
I think that's the likeliest outcome. Your spouse is the one person who sees you really haven't changed into some monster. All they see is the way you're being treated because you refuse to lie about what you believe. Long term, I think it's likely it'd affect his/her opinion of the Org instead of you.