It won't hurt Twitter's value because it never really had credibility, but also doesn't need it. Nobody is going to get up tomorrow and say "I was going to tweet this, but I'll rumble it instead because Twitter has lied to the FTC since 2011!"
If he has to sell 20bn of Tesla stocks that may lower the value of Tesla, thus pull his net worth down.
In addition some of his sponsors might pull out of the deal after seeing his erratic handling of the case, thus he has to provide even more liquidity. Which means selling off more Tesla, which reduces his control.
It is always a good question to ask when entertained by these stories of titans and their 'games': whose mind are they playing games with? Couldn't possibly be the collective yours, could it?
And what have his shenanigans achieved? We now have all his text messages which prove all the worst fears of the people who don't want him to own it.
On top of that, he's partially funding it by selling Tesla stock that is also worth less than it was when he originally made the offer.
This is an incredibly expensive game of 4D checkers.
Twitter would need some cool-headed, smart leadership for him to get the political gains out of it.