That is the proper sequence in a golf swing.
When you shift first, it helps you rotate at the proper angle so you don’t get too far inside too quickly and be forced over the top.
You shift your weight to the right and you turn. Then you shift your weight to the left and turn again.
The part I see screwed up the most is the 3rd part. Most people don’t shift to the left to start the downswing.
I like the idea of the hips shifting left till they won’t shift left any more, then they turn.
Some people will say, “I just do that, I can’t think about it.”
That is where I seem to differ from most people. Some people say they can’t think about any movements, while others have and promote multiple thought checklists.
Here is how I see it. When you play golf, you want a minimum of thoughts and hopefully zero conscious physical movements. However, if you have an issue you want to make better, how else can you fix it, other than thinking about it? That is why working on one thing at a time is ideal. You focus on that issue on the range and figure out what feel produces the desired change. In time, that change is ingrained and your body does it without conscious effort.