Agreed. It takes a bit of patience for the first full stroke cycle, but the second goes quite a bit quicker. Readjust the fluid level with all 4 cylinders fully retracted after the second full stroke cycle.
Usually two full stroke cycles will fill the loader hydraulics enough to work with. There will still be a small amount of air present that will gradually be purged out with working the loader.
If the serious jerkiness continues after two cycles, check the supply line to the hydro for cracks and the filter for proper sealing that may allow air to enter the system.
Jerkiness is usually either caused by air in the system or a low fluid level. From the sound and speed observed in the video, my first thought is low fluid, but that will also have a negative effect on the drive.