I didn't watch the video, I just skipped a few frames into it to get an overview.
The guy in the video used a DWC (deep water culture) system.
I have a few of them set up and think, that next year there will be even more!
It's as simple as an air stone thrown into the reservoir and works extremely well.
Make sure to have a cheap replacement pump nearby, in case the one used breaks. I've had that already happen this year due to water damage, and the plants got cooked quite a lot due to the summer heat.
Here are a few photos of mine on my balcony:
In general, I can't say "System X is better than system Y", because everyone has different needs.
But, the DWC is simple and works for most plants.
The only issue I had with it was the lack of hold for the roots with bigger plants, like chilies and weed. They often fall over, so I'll probably need to stabilise that with a stronger net cup and substrate.