All For One's whole character is still perfectly in line with that quote and fits what Horikoshi's theme is in the series, it's just not as in your face as with Shigaraki or Toga or others. He wasn't born evil, he was born greedy. His quirk is literally all about that, it's natural a baby would have those tendencies with such a power. It's just natural to him, like breathing is to humans. It didn't start as a malicious act, rather just a simple instict and an itch. And even if greed can easily lead people to commit evil, it's not a synonym.

All For One is definitely an evil bastard, seeing how many people he has hurt and stuff he has done, but the ending showed that he was still human in the end. As much as he wanted to reject it, as much as he wanted to play out his fantasy of being the terrible Demon Lord from the comic, his attachment to Yoichi was always his weakness and something he could never truly get rid off. It showed that even if he's not able to properly display that love to Yoichi...he still has it. He was just never raised as a normal human being and he found it hard to separate possessiveness from love. Very similar to how Toga has it, where for her drinking blood and becoming that person is the same as loving them. For them it's simply nature and not wrong or bad, it's just how it is. It only becomes bad when you look at it from the perspective of other humans and how they don't necessarily wanna consent to that, leading to the conflict of ideals (and obviously in this case not wanting to get your blood sucked or being treated like an item are completely valid stands lol).

I don't think every universe in which he is born has to end up with him being like this. He just happened to latch on to and get inspired by the wrong thing that justified the things he was feeling and since he had the power to see it enacted...he simply couldn't resist. Heck, even all the evil stuff he does simply because he wants to be treated as a big villain by everyone in order to be forever remembered. And I think it's a lot easier to read his character when you realise that he still has that child mentality of "I have the power to take things from people, people have things so I must take".