Dude, just stop before you strain your brain or something. You've gone totally around the bend in trying to twist this into something it isn't.
If you didn't SEE or HEAR or FEEL it, you can't say it happened. Not truthfully. All you can say is that someone told you it happened.
If you say something happened when you don't actually know it happened, what you say is a lie. Period.
I find it amazing that you are trying to argue that lying is acceptable. No court allows it. No parent allows it. Friends and family don't allow it either. NOT EVEN THE GB ON LIT allows it (other than the Ad Hom crap) because a request for citation to authority is common here.
You can't just make up shit and pass it off as truth.
Yet here you are trying to say that if someone "deduces" something they didn't witness it's not a lie. Or that they're not trying to create/fabricate events they don't know actually occurred.
Finally we get to your "yes or no question". Hearsay is a statement offered to prove the truth of the matter about which the speaker has no actual knowledge.
What do you call it when you say something you don't know is true or not? It doesn't matter if it really is true, YOU DON"T ACTUALLY KNOW IT. And, without actual knowledge, it's a lie on your part.
When you create a lie to accuse or support an accusation, it's fabrication of evidence. This is why the words "lie" and "fabrication" are often synonymous.
If you say that someone told you something happened, and that someone had actually told you that something happened, you have not told a lie. Get it?