Ahhh, if we're playing by the same rules as the left, we can leave it up. Why, you might ask? Much the same way they had no problem with Time magazine completely falsifying an image of Trump and a small child, because the image was representative of their view of Trump, that made it legitimate.
I agree that in a world in which you're dealing with reasonable, rational people, and you found out the information wasn't 100% accurate, it should come down. That's what an honest person does, and of course I commend you for saying you'd take it down. But sometimes if you want to win, you gotta get down in the mud with those dirty dogs and roll around with them, and play by their rules, fleas be damned.
Just some food for thought. In your position, if I found out it wasn't 100% accurate, I might take it down, too.