Wouldn't be surprised to find out they smoke more than they used to with it being less scarce.
https://ash.org.uk/uploads/Smoking-Statistics-Fact-Sheet.pdf... https://www.gov.uk/government/statistics/tobacco-bulletin/hi...
We had in the UK the sugar tax which was an effective ban on added sugar in soft drinks - you can hardly buy any drink without artificial sweeteners now, all of the old formulations were taken off the market because they were uneconomical. However, it never prior received attention as a ban, it was always described as just a "tax".
Simply, we should charge for negative externalities (not only for vapes) and let people decide what's valuable to them.
Tax is one big pool of money and I doubt the money will be used to fix the issues created.
A similar idea, carbon taxes and carbon credits trading seemed politically dead at least in my country even though it is a fantastic idea.
Edit: what might work is a 5-10 British pound ransom, released on return of the disposible to a recycling centre. Give the used devices free to a reclaiming merchant that operates out of the same country.
If batteries are a waste issue they should be more expensive till we as society feel we are adequately compensated for the externality created. We shouldn't pick and choose what use cases are valid for others. Everyone has different circumstances and preferences.