The late Mr. Akkad, (his son keeps the franchise going now) has always owned a piece of the Halloween pumpkin pie. The first film likely would never have happened without him putting up the money.
I know Carpenter has said at least once over the years he didn’t want to stand in the way of Akkad’s right to make more films. The story goes Carpenter was only able to crank out the Halloween 2 script by drinking a lot of beer.
Carpenter gets a cut of the sequels and the Rob Zombie remakes if only because the Halloween theme he composed is used.

It was announced this year Carpenter is returning to the franchise as executive producer on a new entry in 2018. I’d bet it’s going to ignore most of the sequels.