A question: Venom's original motivation in going after Spider-Man was two fold. The symbiote itself hated Peter for abandoning it, and Eddie hates Spider-Man too for "ruining" him during the Sin Eater story (and also for Peter's rejection of the symbiote... in effect saying he was "too good" for it). When they bonded, and Eddie learned all Peter's secrets .. that's when the character had life. And a purpose.
So in this world, obviously Eddie won't know Peter is Spider-Man. And if the symbiote doesn't know it either... why would this character have any relationship to Spider-Man? Wouldn't people wonder why it's powers mirrored Spidey's?
Venom was never a "criminal" in the way of stealing/planning to take over the world, etc... it was just focused hatred on Spider-Man that motivated it.
So maybe I'm not following how this is going to work going foward.