As King explained, since Bradshaw was the biggest name when season one first aired — she scored the biggest pay cheque.
"The show doesn't exist if Sarah Jessica wasn't the blonde star of the show, that's number one. Kim was not at the height of her career, Kristin was under her in terms of notability, Cynthia was a theatre actor — and their contracts reflected that status," he said.
"As the show progressed, the characters, everybody grew, it became a family. Kristin, Cynthia and Sarah Jessica became one group, and Kim never joined mentally.
"Kim fought and said, 'I'm everyone's favourite.' … (Parker's) name was contractually, legally, righteously, the only name on the poster due to the fact that she was a movie star in 1998 when the series started and she did a leap to do a show about sex on (HBO), the channel that did the fights, and it doesn't matter how popular you are.
"I guess for Kim it didn't matter how much the raise became if there was never parity, but there was never going to be parity."
King also criticised Cattrall for concocting a "revisionist history" of her time working on the show.
"People do things, they make stuff up based on what they want to tell themselves," he said.
"All I know is that show was spectacular for everyone involved. It was a spectacular success and you have to work very hard to make that Sex and the City story be something that was not good for you, and for some reason, Kim thinks something happened to her on that show that was not good for her."
In another episode of the podcast, Parker herself addressed the ongoing drama, insisting she wasn't in a "catfight" with "anybody".
"I've never publicly — ever — said anything unfriendly, unappreciative about Kim because that's not how I feel about her," the actor said, adding that reports they'd been fighting during their years together on the show were incorrect.
"We just couldn't have functioned. I would've had stomach-aches every day."