Lethal Protector was published as a six-issue miniseries from February to July of 1993, five years after Eddie Brock became Venom.
From there, things escalated, as Spider-Man came to see what the commotion in San Francisco was, and he and Venom later had to deal with five of the Venom symbiote’s offspring.
Obviously Venom can’t fully adapt Lethal Protector given that Spider-Man isn’t expected to appear, but it will be set in San Francisco, and perhaps Eddie will start using his new powers as a vigilante rather than a villain, only to find trouble from an unexpected source.
After years of clashing with Spider-Man, Venom and the Web-Slinger agreed that they would leave each other alone, provided that Venom wouldn’t continue his life of crime.