but it absolutely does
I get why you would say that, because verbal contracts are definitely a real thing that can be binding, and this basically takes the form of a verbal contract, with the added advantage of being written down so it's easy to prove what was said.
But I don't think any court would ever find that this constituted a binding contract. No reasonable person would believe that this was intended to be taken seriously, and an offer made in jest does not constitute a binding contract. See Leonard v Pepsico.
edit: With Twitter, as far as we know, he had actually signed a more standard contract in which he waived his right to due diligence. It was rash and stupid, but not really comparable to this at all.