But your sentence
If I told you that I lived in Russia, you wouldn't believe me.
does refer "to an unlikely or hypothetical condition and its probable result" and "[it is] not based on the actual situation," which are quotations from the website you link to.
The speaker is not actually telling his listener that he lives in Russia. He is setting up a "hypothetical condition" in which he tells the listener:
If I told you that I lived in Russia (and I'm not telling you that I do), you wouldn't believe me.
If I said I was going to buy you lunch tomorrow, would you let me borrow your car today?
The speaker is not saying he will buy the person lunch tomorrow, he is setting up a "hypothetical situation" in which he will:
If I said I was going to buy you lunch tomorrow (and I'm not saying I will), would you let me borrow your car today?
Note the term hypothetical is a term that can have many meanings. The linguistic term is irrealis, or "unreal". See Unreality (‘Irrealis’) – Conditionals and Reported Speech – and some Shakespeare!
You bring up a good question in your comment:
What if he actually lives in Russia in real world. Then the question is "why does he need to set up a hypothetical condition". If he actually lives in Russia, then should he say "If I say I live in Russia, will you believe me?
Okay, let's say the speaker (George) actually lives in Russia. He has a girlfriend who does not take him at at his word; she doesn't believe what he says, for whatever reason. George acknowledges this by saying If I said I lived in Russia, would you believe me? This is a hypothetical question, even though he actually lives in Russia. Based on previous experience, they both know the answer is no.
At this point George, to convince her that he actually lives in Russia can have her brought to Russia, or go and fetch the woman herself and bring her to his home in Russia; and if she asks him why he went to all this trouble, he can reply: If I had said I lived in Russia, would you have believed me? This again is a hypothetical, but it's a past conditional since he has already brought her to Russia.