Figured it out, pretty simple really...
The cutting of the decks doesn't actually affect anything, the order is always that the right cards are the 11th 27th and 43rd (10 other, 1 chosen, 15 others, one chosen, 15 others, one chosen) from the bottom.
Then after moving the 4 cards from the top to the bottom they become the 15th card, the 31st card, and the 47th card (and above that are 5 other cards)
It looks like this (zero means other cards, 1 means chosen cards):
After removing half alternating from the right and reversing the order of the rest: