I'm not sure how quickly the body adjusts to the increase in calories, but considering you will still have a calorie deficit, you should still be losing weight as you move up.
The weight loss might pause for a few days or so, maybe even a small but temporary increase, while the body adapts to the higher calorie level. Not sure as I’ve never been there myself.
I would do each step for 2 weeks, like you plan to. But in addition to that, I would also set target losses for each step and stay on them until they are achieved even if it takes longer than 2 weeks. Maybe something like 7lbs for step 2, 6lbs for step 3, 5lbs for step 4 and 4lbs for step 5.
Just thinking out loud really, but that is how I would do it.