It wasn't meant to be an anthology from the start and that why I said TVC was right... sort of. It was supposed to be one story in a collection of horror stories at its core - that was the point I was trying to make (and that Halloween itself was just another tale in the holiday slasher series!).
But after Halloween II wrapped up, Carpenter didn't want to continue to do Michael Myers stories and envisioned a franchise that had different Halloween tales. This didn't go over too well.
I will say this, the movie is absolutely dumb, but the Silver Shamrock jingle is fantastic and the lighting and cinematography is some of the creepiest ever seen by human eyes. There's dark, sterile look that film nails that gnaws on my soul.
I've heard bits and pieces of Halloween 4, no more than the information you have in front of you, but that the breaking point was that Akkad wanted to mimic (ironically) the knockoff slashers that Halloween had inspired instead of creating new stories. Carpenter wanted none of that, probably because he wasn't a studio shill yet and was at his creative peak in the 80s.
Nowadays, he'll do anything for money.
Personally, I've always felt they should tackle the material in different ways. Like, follow Loomis' son (presumably with daddy issues on account that his father spent more time chasing a serial killer than with his family). Or make a Se7en-like film, through the eyes of detectives trying to stop a violent serial killer. Stuff like that. That's why Rob Zombie's film looks so disappointing. It's like he's just remaking the Carpenter classic but with the production values of The Devil's Rejects. He would make the recently deceased Moustapha Akkad proud.