You're not installing the kick starter shaft correctly. When you say the shaft is fully pushed in, its not. In the video, when you wind the spring, the shaft is not fully inward. You have to index the shaft to the correct rotary position before it will go fully inward.
Forget about using a cable tie, and try using my method.
Do this with the side cover off. Hook the return spring over its anchor point, and the drag clip in its proper position in the slot in the engine case (at the bottom). Install the kick start lever with it pointing straight up at the 12:00 position.
Push inward on the kick starter shaft, and at the same time rotate the kick start lever from the 12:00 position to about the 7:00 position. When you have rotated to the correct position, you will feel the kick starter/shaft move inward. Its now at the correct pre-tensioned position. I can't recall if its 8:00 or even 6:00, but when you get to the correct position the shaft will move inward. The amount it moves will be about the width of the "stop" on the innner part of the shaft.
Remove the kick start lever carefully so that the kick start shaft is not moved from its position. If the shaft moves, you have to start over. Now install the side cover, and re-install the kick lever at 12:00 position.