Interesting videos.
Probably the key thing for me is how much of the process in both videos is just exposed to normal air. If sesame is as deadly as some people in this thread are making out and a few grains of sesame dust could kill you, then absolutely the current warning labels seem justified if any loaves are made in a factory that has sesame anywhere. Perhaps there's some in the air, perhaps a worker has some dust on their clothes (which could even affect them travelling to a different factory or even location). What next? Should we demand completely sterile factories and for all the workers to wear full hazmat suits?
It does seem simpler to just allow the labeling to continue with the warning about the possibility, and people with allergies can choose to not eat bread at all, or find a baker who can offer a guaranteed sesame free product. It'll probably cost more to make that guarantee (less demand, limited product range, etc), but if people with allergies want bread so badly that it's worth paying the extra, there will be a sustainable business opportunity. Maybe only artisanal bakers will bother, maybe only those owned by people with the allergies themselves, but if there's an overlap between how much it costs to make that guarantee and how much someone is prepared to pay, somebody will make that business. But if you have an allergy, and you're not prepared to pay for what it costs to protect yourself, why you should expect everyone else to subsidise that?
I say this as someone with allergies myself. I have developed allergies to some common fruits (weirdly, ones I used to love and have eaten for most of my life) that have given me reactions ranging from itchiness to fairly severe throat swellings. I deal with that by not eating those fruits or things containing them. There's plenty of other food in the world that I can have instead.