I have already watched that video and it has several issues:
The experiment they carried out was pretty basic, but interesting and a good start nonetheless. They took images using a laser. They do not appear to carry out any diagnostics to quantify anything meaningful other than how far the droplets reached. The paramaters they need to quantify are droplet size and velocity, surrounding gas velocity, and droplet concentration. Whilst it is very difficult to do these things simultaneously, Particle Image Velocimetry is a well established technique and can be done at different times (i.e. measure the gas conditions and then measure droplet velocity). You can use, amongst others, Phase Doppler or other techniques to measure the size of the droplets too. Phase Doppler also has a limited capacity to measure droplet concentration at a point in space. Not reporting the size or velocity makes the study interesting and a good start, but certainly not conclusive. Similar studies have been carried out for droplets in engineering for decades. The novelty of their work appears to be releasing the droplets specifically from someone sneezing. In engineering it would likely be some spray system, pipe flow etc but the fundamental physics are the same. One condition missing from their experimental study is that the background air is quiescient but in outdoors, you will often have a light breeze at minimum, so you effectively have turbulent motion. Turbulence (or any meaningful laminar flow) is what is really complicating the picture here, not necessarily quiescient conditions.
At 1:30 in the video they say "you can see a large droplet about 1mm in diameter". Well I would disagree. What you see there is just a photo - at best you can say it is a liquid ligament. You can see some droplets, I don't think you can measure accurately the size. You can't say you see droplets of 1mm there unless you've actually measured them. Measuring droplet size with photos is possible with certain conditions, but when you get to microdroplet size and when you also have a large field of view, typically you need to use laser diagnostics such as Phase Doppler or something more sophisticated because the droplets size can't be imaged well due to the diffraction limit. This is an optics issue, something I don't really understand at all, but it is very real and there is I believe something called the Rayleigh criterion to determine it. Maybe some budding photographers will know more about this.
At 1:40 I don't know what they mean by a high sensitivity camera, but okay, it seems to give some useful image data.
2:06/5:53 I've said it several times, water droplets in air are not "light". This is just factually wrong. They are "heavy". "Light" droplets would refer to when the droplet density is smaller than air and I don't believe the droplets here have a lighter density than air because they are "droplets", i.e. liquid. I've already said before, the dynamics of light droplets in air and heavy droplets in air are completely different. I could be wrong, maybe their density is indeed lighter but I doubt it.
2:16 They've previously mentioned that some droplets were 1mm in size, and now they are saying they are just "microdroplets". Which is it? The distinction is important because how the droplets disperse both in still and moving air depends strongly on size. What they really should say is you have a polydispersed cloud of droplets, which means you have a range of different droplet sizes.
3:49 Simulations in multiphase flows are bereft with issues. Without any details given, you should take every simulation with a pinch of salt. For example, does this simulation account for heat transfer processes, e.g. evaporation. Does this simulation use Lagrangian or Eulerian tracking of the droplets (ie. how does it try to "track" the droplets)? What simiplification of the equation of motion of the droplets did they use? Did they study coupling effects/ collisions? Did they use RANS, LES or DNS for the single phase flow? Just a whole lot of questions. Take everything about the simulation with a pinch of salt.
5:03-5:14 Again a factual error and complete nonsense. Even without surrounding air motion, droplets will move due to gravity. Droplets less than 20 micron will also move somewhat due to Brownian motion, and this becomes more pronounced at sizes <1 micron. The reason they remain suspended is because Brownian motion acts in several directions and their terminal velocity (caused by gravity) is extremely small - in other words they fall to the ground very slowly. I know what they are trying to say. They are trying to say that droplets remain suspended within a small confined space for some time, but it could and should be clearer than what they have said. They've also not considered that the droplets may simply evaporate.
5:27 "Opening windows and having air circulation". Just wishy washy words to say that the motion of small droplets becomes correlated with background air motion. This is not new and has been known for decades. Infact, it is exploited by Particle Image Velocimetry to measure gas flow velocity, which I mentioned above. Very high velocity air motion will probably enhance evaporation too.
So to conclude they seemed to ignore or neglect to discuss turbulent motion, which is everywhere when you go outside. They've completely ignored anything to do with evaporation. They've ignored social distancing measures of 2m and the terminology they use is misleading at times. All this video does is create fear amongst people who won't understand the physics which is the vast majority of people. The experiment is a good start, but ideally we need to continue that with more sophisticated experimental conditions and also better laser diagnostics (or other diagnostic) measures. So I don't think that video explains anything to be honest.