Out of the loop

even AI cannot give me a straight answer

uh what? Why would you think AI would ever give you more straight answer?

Why didn’t the pilots stop the engine when they saw him?

If you own an electric fan, then you know that "turning it off" doesn't mean that its blades are going to stop immediately.

Now, imagine an airplane engine that is capable of moving a "bus full of people."

Yes, I know engines aren't electric fans, but you now have an idea that "just turn it off" wasn't going to cut it.

Those are rotating jet turbines. To my limited knowledge there's no way to just stop them. They wind down even if they had turned them off. The very first article I found searching his name showed him approach a jet that was slowly moving across the tarmac, which obviously means the turbines were turning and not going to just immediately lock up if turned off.

I don't even know that the pilots would've seen him from the footage I saw in the one article I looked at.

The post reads like a conspiracy theory nut wrote it.

What really happened? He had a manic episode, took off his clothes, and climbed inside a running turbine engine. The end.

Odds are that the pilots themselves didn't see him and would have learned about the situation from air traffic control. It was late at night, there's a limited range of sight from a cockpit, and at least one of the pilots is going to be paying more attention to the pre-flight checklists than their surroundings. Additionally, even if they shutdown the engines it would still take time for them to fully stop. As for the footage being cut off, it's probably because that portion hasn't been (and probably won't ever be) released to the public. Ultimately, you're going to have to wait for the NTSB's report for more details.

mysteriously cuts for some secret reason

It's no mystery why they would cut where they did... They don't want to show the actual death on air.

I haven't seen the video, but from your post it all sounds reasonable. Even at idle the safety zone in front of a turbine engine is probably 7+ feet.

Especially while turning you have to push the thrust up, so that distance can go up to like 10-15 feet, maybe even more depending on the engine.

Also, even if they saw him, which in the dark at an airport would be pretty hard to do, shutting the engine down takes time. And I don't mean you can't shut it off, I mean after you turn the switch off (Airbus at least) it takes at least 60 seconds for the engine to slow down to a speed that would only maim you, instead of kill you.