I think 731 is pretty reliable. I think he does a lot of research on serious topics. I did watch that and i noticed that the comment I made was not specific to any errors, and not critical of the presentation.
Here are a few things to think about:
1) People try to do far too many things on the TS, this is less common today as cheap tools now mean more people own, more tools, and so they tend not to push TSs to do stupid things. Pretty hard to hurt yourself if working well within the design parameter of the tool. Though there are jigs that can be used with a TS that are outside normal course, and can promote safety. And there are safety tools like guards and push sticks. I guess it is super common today, but I always wear hearing protection, partly because hearing damage is cumulative, and not well explained or understood. But also, when the SHTF, at least my nervous system responds better if the noise level is lower.
IMPORTANT
2) Following on 1) above, today's version of that warning is to make people aware that there is a whole parallel universe of saw use that is rapidly making TSs irrelevant, or minimizing their size. This being precision TSs and track saws. I have been on the former my who career, and the later, is a more recent thing for me. If I had to choose, I would get a track saw, rather than an SS, if my main concern was safety. But there is more... They are better on dust, noise, space, cost, etc... So again as per 1) minimize TS use unless it is safe and unless it is necessary.
(I would also suggest that if becoming a handsaw master is in your future, you want to take on a lot of tasks that might be more easily done on power tools. I prefer not to do things that are drudgery, but skill come from practice. So look for opportunities, particularly if at the outset, say, you goofed a handsaw cross cut, there was still room to clean it up on whatever you find more reliable).
This approach should suit most small makers, but not an industry that pushes 3" maple through a saw all day, power feeds might help, or undocumented labor.
3) Understand that tools that are held in both hands, and moved on the wood, tend to have lower potential for terrible accidents (as long as you don't try to rest them in your lap between cuts) than those one moves the wood to with both hands. This is easy to mistake as some processes like feeding a perfect piece of stock into a TS seem very predictable, but you are also advancing your hands to the cutter. So a router table can be more dangerous than a hand held router. There is also some weird geometry with router tables. My only serious nip on a power tool was when I passed a piece through a cutter from both sides to center the slot. Turns out there are 4 ways to set this up, 2 of which are safe, and 2 of which are ballistic. The piece of wood disappeared, while my hand was near the cutter. There are lots of sneaky things waiting to happen with stationary tools that do not self feed.
4) Relative to that. Always be sure you are not over the cutters on machines where that appears safe as with some jointing, or routing. Never commit weight to the cut, always have your feet well under you. Be sure you know you will be safe should the piece disappear.
5) Really important to thoroughly understand rotary cutters. They are present in lathes, grinders, TS, routers... Understand how they can kick back and from what direction they can be safely approached. You can seriously hurt yourself on table saws, but similar issues arise when sanding on the lathe, using routers, or sharpening on grinders. Not to mention operating a chainsaw.
6) I don't want to watch that video again, but he probably left out adjusting the table angle to the blade angle, relative to changes that are present when the blade is inclined. This is not relevant if the table is fixed as it is on precision saws, and jobsite saws, often. On cabinet saws it can be out. Maybe manufacturers know to adjust for it today, but if you get a second hand saw you need to look for it.
Try visualizing this: Imagine you have a long board and are feeding it into the saw, Often people will slightly elevate the rear of the board because if one is going to make an error that is less of a problem. But imagine you did that while the blade was inclined to cut a bevel. Can you see how that would involve binding and possible kick back? Same goes for if the saw table is either too high at the front, or the back. It may need to be shimmed. This error can occur on saws where the arbor hangs from the table, and particularly if it hangs in the cabinet.
For starters, use predictable wood like plywood, or pine, never put your hands within 8" of the blade, or up to, or past the blade. Get the feel of the tool. You can try other things you learn are sensible later, after you have a feel for it.
Added later 03 min 07 s:
Here is a video of the new Festool battery saw. When thinking "Wow! Sawstop has me covered!" with their janky 100 year old design with a seatbelt. Look at this approach. If SS had their way, this would be illegal. And this saw could never accommodate current SS tech in reasonable form factor.
https://www.youtube.com/watch?v=TrVziQ5nzn0
This is also a 5 thousand dollar saw, in Canada, maybe more with tax. How? Well the saw is 2700, and most fanfolks would have an extra 2K in Festool dust extraction, on a battery platform. Plus reserve battery power, and chichi dust bags, it could go to 6K. Of course, the extractor could spread its goodness over other tool systems if one had them.
The salesman says the market is flooring and trim contractors, which is speaking to who could buy this and make money off it. However, I think the crafts it could serve would be far wider. I do everything from chainsaw lumbermaking, to musical instruments, with a lot of boatbuilding. I could probably settle on a saw this small. A precision saw, if I had a track saw, and a decent bandsaw. I fell for the massive band resaw thing when I was setting up, but I find I mostly use the 12" Inca I got for free when I parted out some guys shop.
Sawstop is like a late model, Model T Ford with an airbag wanting to get the government to ban Tesla. The last Ts came off the assembly line in '27, and the Unisaw got it's start in '38, so a slight exaggeration.