Yeah, I agree of-course about cutting the junk food, their development is in question.
But the article was about teaching children about authority, making them submissive and using it as a punishment... at least my eyes were wide open on that!
I would also say that it would be very poor parenting skills, cutting them of their basic rights.
Also I think that these kind of parents have control issues.

Here is the article:
Withholding Food from Children: What Are They Thinking? | Psychology Today