It's not about what it says, it's about what it doesn't say. The conversation lasted an hour. Do you really think the NYT was able to hold a depressed Elon on the verge of collapse for a whole hour on the phone?! Do you think he figured a New York Times reporter was the right shoulder to cry on, so he proceeded to pour his heart out, again, for an entire hour?
No, what actually happened, I'm sure, is that the NYT asked Elon for comment on a piece they had sourced by talking to unnamed close associates, some of which are on the board, and he obliged. I am willing to bet money (and I am, in a manner of speaking, by positioning myself in the market accordingly) that the general demeanour of Elon was in reality much closer to the one he exhibited in the YouTube recording, posted elsewhere in these threads, of another interview he gave on the very same day, where he talked in the chipper tone he takes when he interacts with people he likes. Yes, you could see he was tired, but he was nowhere close to the doldrums of despair and instability that we were told he is going through.
The NYT just cherry-picked what to include in their piece with the very clear intent of imprint in the minds of their readers the image of an Elon Musk on the verge of collapse. That intent is made very clear by, among other things, the gloating of their reporters on Twitter (with the clear subtext "Elon is broken and we got the scoop").
Of course, plenty of people read it like you: "what's wrong with it? are you saying they are lying, that Musk didn't actually say those things?" No, he likely did say those things, but YES, the NYT is lying. They are lying by omission.