Its really difficult to ascertain whether or not it was Satoshi Nakamoto on that tweet. People can claim to be him as the whitepaper must have given them ample information as to what to post or say.
People have come up to make claims of being Satoshi, it will be easier for them to make tweets like him. I don't believe Satoshi left any trace and twitter might have a trace to him if it is truly satoshi.
I personally feel unsure about that because after all when we digest the events that happened for what Satoshi admits now that he still exists because if in the end he wants to be acknowledged it is actually not difficult to simply reactivate his bitcointalk account and it has been verified with full confidence but when it looks for other social media and starts saying that he is Satoshi and many are convinced only because of the blue tick that his account has I don't think I will believe it.
Indeed the blue tick is a form of verification but of course things like this can also be minimised especially with twitter (X) now that it is like a business field (not social media) blue ticks like this will be very easy to get.
Let's say if in the end he is right, then when he has received recognition that it is the real Satoshi then what will be done?
People who say they are Satoshi should not be trusted just because they have a blue check mark on their social media profile, especially since that check mark has lost value over the years. After all, getting a blue tick has become a commodity in this day and age when Twitter has changed from a social platform to a kind of business venue. Such a tick doesn't really prove that someone is who they say they are, and its pretty naive for people to accept claims without solid proof, isnt it?
If you look more closely, your main doubt is based on the easy idea that if Satoshi really wanted to be known, wouldnt the easiest thing to do be to log into his original Bitcointalk account? Lets suppose for a moment that it is the real Satoshi. What happens after the name is known by everyone? Will the story about Bitcoin change? Will what he says in the future change the way cryptocurrency works?