He is legitimately a very interesting character, who introduces shades of gray, has an iconic character design and even when written at his most unsympathetic (the L-D era) was ranked by fans as Spider-Man's best supporting character several years in a row in the Alley Awards.
That's how he is depicted in ASM #91-92, ASM #246, Daredevil Born Again, Alias by Bendis, and for most of The Pulse. A lot of great stories show him that way.
If we remember characters at their worst tendencies then yeah Jameson doesn't come out well. But then if we apply that universally, then Peter Parker is a creep who harassed Johnny Storm's girlfriend (ASM #8), who slapped his pregnant wife in accident (The Clone Saga). Gwen Stacy is a white supremacist (ASM #91-92) and bully (ASM #31-38). You could say Jameson has had some rough edges sanded off, I would say that applies to a lot of characters in Spider-Man, and it should be seen in context.
Jameson has supported in-page and in-panel Civil Rights, mutant rights and other worthy causes and he did that under Stan Lee's run with John Romita.
This kind of stuff, bashing Jonah, and ignoring the context, is not one jot different from people like Zack Snyder and his fanboys cherrypicking stuff to justify Batman and Superman being killers and claiming that's the right version and all the stuff showing Jonah in other contexts is "downplaying him" or "whitewashing him" and so on.
Spider-Man's responsible for Venom and Carnage, who individually exceed the body counts of even Norman Osborn. Creating supervillains doesn't stop making you sympathetic or override everything else about a character.And at the end of the day, Human Fly at least is a minor villain who is on the lower-tiers of Spider-Man's rogues. There will never be a Spider-Man movie where the Human Fly and for that matter Scorpion, will be the main villain. Whereas Venom and Carnage got tons of spinoffs and so on and still make a lot of money for killing buckets of people.
Most of Jonah's anti-Spider-Man stuff goes in editorial, which is opinion. The headlines and actual articles generally stay in the realm of facts or plausibility. When Spider-Man actually does something worthwhile, Jameson however reluctantly publishes the truth.
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Who was Peter Parker before Uncle Ben died? He was a showboat and celebrity shill who let a burglar walk by and said that guy wasn't his problem. Jameson as Zdarsky's "My Dinner with Jonah" pointed out attended one of those shows, so as far as he was concerned, Spider-Man was always a fake. And he's right in that Spider-Man did start out as a fake. There was a period in Peter's life where everything Jameson said about Spider-Man as a character was indeed entirely true. And he always serves as a reminder to Peter and the readers of the kind of person he once was and could be.
Dan Slott's Superior has Aunt May and Mary Jane not noticing that Ock is in Peter's body even when that guy is the worst actor in the world. A lot of people were acting out of character in his run.
When Jameson is written by Stan Lee, Roger Stern, Tom Defalco, Brian Michael Bendis, Chip Zdarsky, you know writers who are actually good, he is shown as a complex character with a lot of nuances whose good ultimately outweighs his bad.