Hajime has an artifact which allows him to manipulate the consciousness of people all over the world, when he came back from torcus there was a big buzz about him and his classmates reappearing after being gone for while and so ppl wanted to know what happened, hajime and co said they went to another world but no one beleived them so they kept harassing hajime's teacher, saying she should take responsibility, so hajime got pissed and mind controlled everyone in the world so they wouldn't ask anymore questions about what happened to hajime and co.
It's basically an artifact hajime uses to cover up stuff related to him and his classmates, using it he can manipulate the entire internet to conceal his and his classamates identity, like the time they curbstomped some terriorist, all information pointing to it being hajime and co was covered up.
And yea hajime hasn't had a serious fight in the after stories, it's been more of a slice of light sort of thing, he hasn't been in any serious threat, so we don't know what the heck he is capable of, or what new abilities he has. We know he has glasses that can see into the past, gloves which grasps souls, another artifact which basically mind and emotion screws ppl but that's about it.
So as to whether he regularly uses the planetary mind control in a serious fight, who knows since he hasn't been in one yet, what he usually uses it for is to mind control the world so ppl won't find out anything about him.
Not gonna see a serious hajime in the after stories for a while, there is hinted to be a major threat about 6 years after the main series, after which point hajime has already perfected basically an infinite energy source, and can use infinite heat or some op stuff like that but just have to wait to see that.
When he fought ehito he knew he had to go all out so he did, and used illusions and everything he had to win, but again after stories he has never been seriously threatened.