When moving, the 180 degree rule is used to give the correct amount of motion blur.
That sounds a mouthful but it's quite simple. If you are shooting at 30 FPS, the shutter speed should be 1/60 second. 25 FPS - 1/50 second. It's the purpose of the ND filters - to chop down the amount of light reaching the sensor to allow correct exposure at a fixed shutter speed. Don't need them if you have aperture adjustment as well as shutter speed adjustment, but that's currently only on top of the range kit.
Ideally set the shutter speed manually on the drone for 1/60 (assuming 30 FPS) and then use whichever ND filter gives you closest to correct exposure. Plenty of youtube tutorials about this, and the advantages of correct motion blur.
Your video was shot on a bright day, so it's probable the shutter speed was high, and that would cause a certain amount of judder as you pan round. It may be the juddering is still there on the phone, but as it's a lot smaller than the monitor not so noticeable.
I'd be inclined to have a look at the tutorials and investigate ND filters. I can't see motion blur on the 8" tablet I use to film unless it's really obvious, but by the time it gets to my 50" TV it is noticeable. I try to used fixed shutter speed most of the time.