I really, really think that when Marvel adds non-comic Spidey's to a Spider-Verse event in the comics, they shouldn't be included while their series is still continuing on television. Or at least do research to make sure the Spider-Verse can take place during that series.
There is no way Animated Ultimate Spider-Man experienced two Spider-Verses. And Marvel's Spider-Man, you can't even tell when he was recruited by Spider-Punk during Spider-Geddon since he was fighting Mysterio, who was a villain Doc-Ock hired that lead to the events of the animated Superior Spider-Man story arc.