Multiverse of Madness Theory

Feel free to tell me why I'm wrong in the comments but I am currently using watching MoM again, and I am starting to believe that the reason MCU Strange is not as cold and calculating as the Strange from the beginning (the one with the white locks on his head), isn't because he spent longer with America, (which I doubt he did), I think it's because of Spider-Man.

I know he wouldn't remember who Spider-Man is, but he would remember that he helped him, and even stated so in MoM. The other Strangers likely didn't go through that same character development where he loses someone he cares about in one of the more noble sacrifices in the MCU.

Further, think about the beginning of No Way Home, when he said, "In the grand calculus of the multiverse, their sacrifice means infinitely more than their lives" but toward the end of the movie, he recognized the value of the 'good at almost all costs' nature of your friendly neighborhood Spider-Man, something that the other Stranges would not have been given a hard knocks lesson on.

Edit: this is meant to discuss why the earlier Strange is willing to sacrifice America while using that same "grand calculus" line, but the latter Strange isn't (or at least not quite as willing).