No. You're effectively in a liquid, and that liquid is moving very quickly up and down, left and right. You can see in the video you linked to, it's not all that effective, even while stationary in a boat. Plus, the drag penalty related to some extra appendage like this would be severe.
It would take a LOT to keep you precisely in the same 6-axis position - and there's no way a system could react quick enough because it would first need to detect the movement, accounting for normal wind-speed, etc. Any solution here would be heavy, induce drag, eat through batteries/fuel, and introduce a lot of new failure modes that don't exist with traditional aircraft and could be unrecoverable in the event of a failure (stuck appendage or azimuth thruster-like propeller in wrong direction, destroying lift).
Things are quite different just 1,000 feet off the ground, and even worse 5,000 ft or 10,000 feet. The wind speed can get extreme, averaging 100mph at 10,000 ft[1].
For people accustomed to flying in these small aircraft, you get used to it. But for people already nervous about flying, or not familiar with small aircraft, the sudden movement can be very disorienting and scary.
People often underestimate the aviation industry. It's incredibly safe, and very stable. A lot of innovations were paid for with blood during the early days of aviation, which led to it's maturity. Innovation, at this point in aviation's history, is very challenging and requires very deep understandings - even mature organizations like Boeing struggle with this from time-to-time, and they have a ton of experience in developing extremely reliable aircraft for not just transport, but combat and more.
Unfortunately, far too often, things like this startup's solution are dreamt up by people that don't understand the problem domain and don't have a lot of experience in the field. They look from afar, and confidently state they know a solution no one else has thought of or tried, and the entire industry is simply doing things so obviously wrong. Fortunately, they often find out why things are the way they are within a reasonable time frame and don't blow all of their investor's money or get people killed. Time will tell here.
[1] http://www.kitegen.com/en/technology/wind-data/
