It does really hammer home that the people who are doing the first preliminary investigations into "warp drive" aren't wasting their time if it's even remotely possible.
I think the video might have done better to fill the time with demonstrations of what the Doppler shift in the light, Lorentz contraction etc. would look like at 99.9999% of
c at increasing increments.
Although if you actually could get up to 99.9% of
c, assuming constant velocity for the whole trip, and ignoring the need to maintain some semblance of a sane acceleration and deceleration, and the impacts with the nominal density of dust in the Solar System going off like H-bombs as you hit them, the time to Jupiter would only seem like roughly 1-2 minutes elapsed to those on the spaceship.
A trip to Alpha Centauri at 99.9
c over roughly 4.3 LY would seem like roughly two months and a week, ship time. 4.34-ish years Earth time. And I'd guess that any quasi-realistic technology, matter/anti-matter with the maximum acceleration the crew could stand to spend as much time at near c as possible, would be asteroid-sized quantities, and would probably be enough radiation and relativistic ions to kill everyone on Earth, or seriously sicken them, if it was set off anywhere in the inner Solar System.