I think they could easily be checked in baggage with the same precautions as a firearm. Battery out, fluid reservoir empty, and in a flight-approved, locked container.
That said, I was on a cave tour once and some jackass was vaping inside the cave. The guide reminded him "no smoking" and he kept on puffing, explaining, "I'm not smoking. It's a vape." It was already too late to remove him from the tour.
People didn't ban cigarette smoking specifically because of the cigarettes. It was because it was the most common means for people to blithely pollute the local air. Vape fluid might be less overtly toxic and more pleasant-smelling than cigarette smoke, but that doesn't mean I want your candy-flavored solvent precipitating out of the air onto my clothes. When you're in an enclosed space without openable ventilation windows, like a cave or airliner cabin or elevator, don't smoke, don't intentionally fart, don't take your shoes off to air out your stinky socks, and don't vape.
(No conflict of interest here; I'm not, and never was a smoker.)
For instance, 'just think, there was a time when you could smoke proper analog cigarettes on Concorde with the flight attendants able to sell you more, by the box of 200, duty free. They even had books of matches spare to help you light them.'
Also, I was making a more general point. I see e-cig bans everywhere I go, both in my country and abroad.
I don't think nicotine is good for you, but vaporized nicotine seems much less dangerous than smoking a cigarette.
https://tobacco.ucsf.edu/cdc-publishes-more-evidence-nicotin...
Seems harmful enough to me.