I'm not watching the video (mostly because videos take forever to load on my tablet), but from the studies I've looked at, there's no nicotine coming out. Or, more accurately, if there is, it's so low it's virtually undetectable.
That said, I won't vape around anyone without their permission because of potential allergies. I know someone who can't be around anyone vaping strawberry liquid because she's allergic to strawberries and has a reaction to the second hand vapor. In my opinion, it's like the people who go into a store and spray body spray/perfume/cologne and then I can't breathe very well for an hour or more after being within 20 feet of it (I had asthma attacks from it when I was younger). I know how uncomfortable even that kind of reaction can be, so I try to be considerate of others. At home, I vape when/where I want. Same in the car. I just don't blow clouds at my cats or my child, and I don't vape when any of them are very close to me.