Thor does not remember Spiderman.
The result was that any memory of Peter was completely erased from public knowledge, with even Spider-Man's closest friends no longer remembering him. Despite this saddening situation, there is a chance that his love interest might still have some lingering inkling of his existence.
By referencing No Way Home's multiverse story and the existence of Spider-Man, it can be concluded that Doctor Strange remembers Spidey and the general events that they experienced together.
The new spell causes everyone to forget that they ever knew Peter Parker, not just that he's Spider-Man. Otherwise Ned and MJ would have remembered him. It's true that the spell needs to extend to the people on the other side of the interdimensional rifts.
If Doctor Strange was speaking literally when he said that nobody in "the world" would remember Peter Parker, then - surely! - Nick Fury (the real Nick Fury, who has been on the moon this entire time) still remembers him.
The 2020 Marvel Comics one-shot clarifies that, while Bruce Banner and virtually everyone else has forgotten Spider-Man is Peter Parker, because of his "One More Day" bargain with the demon Mephisto, the Hulk has not. "I don't forget," he emphasizes.
Fans know Spider-Man is strong, but Marvel confirms Peter Parker has the strength to not only survive a Hulk attack, but take him down too.
Considering the Hulk and Banner are basically two beings operating in one body, it makes sense that the strong hero would remember what his human alter-ego doesn't.
Doctor Strange in the Multiverse of Madness indicates that Doctor Strange remembers Peter Parker in a specific way after the ending of Spider-Man: No Way Home.
From time to time, the Eye can be seen as a manifestation on Strange's forehead which gives him special powers. Doctor Strange's third eye (the Eye of Agamotto) in the comics, according to Bustle, represents wisdom of the sorcerer Agamotto and his Vishanti.
In the Marvel Comics, Ned was essentially brainwashed into becoming a villain, after the real Hobgoblin, Roderick Kingsley, tricked him through mind control. Ned began to believe that he was Hobgoblin all along, eventually committing crimes while under Kingsley's influence and using the Hobgoblin alias.
Why didn't Peter tell MJ and Ned who he was at the end of No Way Home? Because he's seen the harm that can befall people, just for being associated with him. Both MJ and Ned have nearly died multiple times, and MJ still carries the injuries from the final battle.
Many believed that this was how the MCU was going to write MJ and Ned out of Spider-Man 4, especially since they'll be heading to MIT while Peter stays in New York, but producer Amy Pascal has since hinted in an interview with Variety that Zendaya will make an appearance in the film after all.
He might seem like a lightweight compared to other superheroes, but Spider-Man has shown he can be stronger than Thor - multiple times. When it comes to super strength, Spider-Man often ranks fairly low compared to powerhouses like Thor and Hulk.
Marvel fans know that Spider-Man is a strong superhero, but the company has just confirmed that Peter Parker is strong enough to defeat the Incredible Hulk in a one-on-one brawl.
Spider-Man is stronger than Captain America, Falcon, Winter Soldier, Wolverine, Beast, and every other character that doesn't have super-human strength. But he's weaker than Thor, Hercules, Hulk, Wonder Man, Luke Cage, Thing, Captain Marvel (either of them), & Colossus.
There are few heroes the Hulk hates the way he does Spider-Man. Spider-Man can't hurt the Hulk on his best day, but he's so annoying that the Hulk can't help but hate him.
Previously, Spider-Man made everyone forget his secret identity (including Banner), but somehow, the Hulk remembered. This occurred in the infamous "One More Day" storyline, in which Parker made a Faustian bargain with Mephisto to undo his unmasking in Civil War.
Strange does know Peter. He knows more about him than most speculate and I don't even know how much he knows about him. I arrive at this conclusion because of one thing he said in the movie.
Not only did this spell affect everyone on Earth, but the effects also reached out across the multiverse, even if it wasn't intentional. He was able to cast it again at the end of No Way Home, wiping everyone's mind of Peter Parker, which is without a doubt one of Strange's strongest spells.