It does assume only one cutting point interior to the pizza:

"Let p be an interior point of the disk, and let n be a multiple of 4 that is greater than or equal to 8. Form n sectors of the disk with equal angles by choosing an arbitrary line through p, rotating the line ⁠n/2⁠ − 1 times by an angle of ⁠2π/n⁠ radians, and slicing the disk on each of the resulting ⁠n/2⁠ lines."

My previous comment may have been ambiguous, so I've edited it to be clearer. I meant that very rarely do all of the cuts go through one point - when slices are uneven in my experience, that usually comes along with a few extra mini-triangles in the middle of the pizza where the cuts have missed each other.