He wasn’t lying, really. He just doesn’t know yet what to do when confronted with gaps in his knowledge. Lincoln was the tallest president! What a cool fact to share with an adult! Dude, turtles, you are so lucky to have a kid in your life who wants to share stuff like that with you.
Look man, your job is not to teach him which spider is the most poisonous (or venomous, actually) or how da Vinci died (Leonardo, since we’re being pedantic Dopers) or how tall Lincoln was (6 ft 4 in, but a lot taller with that hat which was the whole point of the silly thing). As we’ve already established, the internet can do that just fine.
Your job is to raise two learners. Your job is to instill within them a fundamental appreciation for the act of learning itself.
So when your kids are coming at you with incorrect assumptions, you need to turn off the part of your brain that is irritated because they’re wrong and get excited for them, because they are engaging with you! In that moment, you hold a piece of their future in your hands and your actions will ripple for a long, long way.
Same thing goes for the da Vinci thing. You called him out on the lie, sure, but you also might have had a good laugh about how funny it was. I mean, honestly, it’s a really clever bit of extemporizing for a 12-year-old. Have your laugh and then sit down together and find out how he really died. Then, once he’s gotten it, you can explain to him why it’s okay to not know something, just so long as you’re willing to go back and learn about it later on. He didn’t feel bad because he didn’t know it, man, he felt bad because you made him feel like the gap in his knowledge invalidated the rest of his project.
Facts are easy. Learning, really learning, that’s harder.
But to answer your original question: you’re not a jerk. You’re a pedant. But take my advice: save the pedantry for the Dope (where it’s a virtue) and be a little gentler with the kids.