“Half as much” is unnecessary exaggeration. All assets with a high reading volume can be manipulated with a tweet. News of a Bitcoin ETF is no different than positive news for any other asset. I think your bias is making you ignorant to general market mechanics.
> Imagine your bank balance is suddenly worth half as much because someone wrote a tweet.
That's just as possible with regular stocks, which Twitter's owner has (unrelatedly) demonstrated multiple times in the past with both Tesla and Twitter... or, a bit slower, in the early covid months.
Stock markets are insanely sensitive to "insider" information and breaking news in general, which is why the regulations around them are so strict.