Marvel has a bunch of comic lines. The one they are using for the pinball machine is the Ultimate Line. Peter Parker is the regular comic line went to college, got married etc... . Marvel then decided they wanted to go back to the roots and launch an "new" Spider-man in an alternate universe.
This was a relaunch of Spider-man, and came under a title called Ultimate Spider-man. They wanted to appeal to a younger generation and recapture what made Spider-man a unique character, a teenager who is a super hero that has teenager problems. They did keep the original in the Amazing Spider-man book.
By having 2 books, they could keep the older readers who grew up Spider-man by not erasing all the stories that dealt with old Peter Parker and get new readers by having a teenage Peter Parker. In 2011, they KILLED the Ultimate Peter Parker and replaced him with a new minority teenage Spider-man hoping to capture an audience that reflects a different time.
They based this pin on a dead character. There is no Ultimate Peter Parker, the guy on the slings is no more.
https://en.wikipedia.org/wiki/Spider-Man_(Miles_Morales)