So what essence that made the character appealing did they remove exactly?
All the essence of the character is gone? He's still a regular guy for before the spider bit him, he still has everyday problems, he still has to balance everyday life and superhero life and he still decides to use his powers to help people in the end. Sounds like Spider-man to me.
Lol I'm not going to read the spoilers but just piecing things together with this conversation everyone is having about the origin, I'm with mayo on this one: If his dad had something to do with his powers, how does that change who Peter is or how relatable he is as a character? It changes his history but that doesn't mean automatically his high school life will be so far out of reach of an actual high school kid, or he'll stop having money problems or girl problems or lose his sense of humor or responsibility or even his flaws. THAT'S what makes Peter relatable, that's why he's lasted so long: Because he deals with crap in his everyday life that all of us deal with in our everyday lives, not his origin, not his powers; Peter Parker is the main reason spider-man is so successful as a character.
None of us (I'm assuming) can relate to being hunted by police, clinging to walls, being bitten by altered spiders or fighting mob bosses and monsters, but we can relate to relationship problems, dealing with the parent of your girlfriend/boyfriend, trying to help your family survive and take care of your loved ones, all while trying not to make a mess of everything and figure out who you are as a person and what your destiny is
What is the quality that distinguishes Spider-Man from every other superhero out there? He is "the hero who could be you." What does this mean exactly. Well, in part, it is because Peter Parker, outside of his costumed identity, has to deal with the problems, responsibilities, and obligations each and every one us make everyday, that much is indeed true. But that is only ONE part of it; an important and fundamental part, to be sure, but not the only part.
Unlike other heroes, Peter Parker doesn't gain his powers due to being an alien from another planet, or because he happens to be tremendously wealthy, or because he has a unique set of genes that make him "special," or because he was "destined to become the chosen one." He gets his powers in a manner not unlike how we find sometimes find ourselves thrust into greatness--through sheer dumb luck and bit of free will. Peter choose to be at that science exhibit and, it just so happens, he gets bitten a spider which also just so happens to give him incredible powers. The spider could have just as easily bitten anybody else there--even one of use if we just so happened to be there at the time.
Furthermore, upon getting his powers, what does Peter initially decide to do with them? Probably what a lot of us would do if something like that happened to us: we'd use them to get rich, or get back at the people who we believed had wronged us, or show off in front of our friends, or try out for sports, or perform practical jokes on unsuspecting people, or just do something stupid out of sheer fun. The last thing on our minds would be "I'm now going to make myself a costume so I can go out and fight crime." In other words, we would be thinking how these powers could benefit us instead of other people--not unlike the special talents and "gifts" we are ourselves have.
And what causes Peter to finally use those powers to fight crime and help other people? It's not just because he failed to stop a criminal who later went on to kill his Uncle Ben; it's because he, knowing full well the guy was a criminal and that he had the power to stop him, choose not to because he felt it wasn't his problem, because he didn't want to get involved. Because he felt it wasn't his responsibility. And it's because of that moment of arrogance, because he made a conscious decision, he unknowingly caused the death of the one person in his life who was truly like a father to him. And he fights crime after learning who it was that killed that person because he doesn't want to make that same mistake ever again.
Now if you have a Spider-Man who partially gets his powers as a result of genetic tampering when he was a child, and if you have him fighting crime before his Uncle gets killed, and thus have to come up with some other way of making him indirectly responsible for his death, then you have essentially created a different character. Sure, he may look like Spider-Man, have the same name and powers as Spider-Man, live in the same city as Spider-Man, have web-shooters like Spider-Man, and even make wisecracks just like Spider-Man, but it's not really Spider-Man. Because you have changed how he becomes who he is and why he does what he does, which is far more important than whatever surface elements may or may not be "faithful" to the comics.