IIN he lied about death?

That person is not your friend, he's a delusional liar and manipulator! No offense to the friendship ya'll once had, but who the fuck is he to "teach you a lesson"? That awful comment sounds like something a sadistically neglectful parent would say after letting a child or animal "accidentally" get hurt. Yeah, this ex friend of yours is not friendship material at all, in fact I would say he is a toxic person!

If he did what he did because he missed you then the lesson to be learned here is not that you're at fault in any way, but that this guy is a controlling manipulator and a coward who is basically ruled by his pride and ego. He's a messed up person who needs professional help more than your friendship, because he'd rather tell a heinous lie to hurt you than risk bruising his ego by being honest, and upfront with you.

Even if you were at fault regarding the fight and falling out, although I suspect either the fault was mutual or that it was the fault your ex friend, it would still be no excuse for the lie of faking one's death to illicit sorrow on your part. If I were you I would take note of whenever I meet someone in the future who reminds me of the now ex friend and see it as a bright red flag.

All the best to you, and definitely keep your distance from the egotistical drama queen guy and folks like him. If you ever feel inclined to forgive your ex friend please feel free to do so as it's good for your own peace and serenity, and you can even pray for him, but don't let him back into your life as a close friend. I think the best this person can be at this point is a passing acquaintance. Take of yourself.