People who buy and sell based on his end statements amplify his joke, making the fluctuations more volatile than any stock day trader could ever hope for. At the same time, if they are timing their buys and sells to his statements, they also profit. Instead, a lot of people complain if they sell too late and the price is already rising again. That's not Musk's problem. That's the panic reactionist's problem.
If Musk wasn't taking advantage like this, someone else would find a way to do it. Like the way wallstreetbets was with the MJ stocks. Anonymous didn't seem to mind that one.
As you've said, finding and publicizing an issue by exercising it over and over again isn't the problem. Passively complaining about it and not looking for solution that would bring Bitcoin more into the realm of "real money" means things will always be this way.
Secondary opinion --- Musk is not the problem; he is just the messenger --- an indicator of the problem.
The real problem is the fact that Bitcoin is not really a currency at all. It is just one facet of an unregulated get rich quick scheme driven by pure speculation and built around the fiction that stablecoins are fully backed by fiat. More than half of all crypto trades involve stable coins.
Everything Musk has done is also being done by the "exchanges" and others on a daily basis --- just in a more subtle manner.
Attacking the messenger won't solve the problem --- at best it will just obscure it's existence for a while longer.