I'm not screaming 
Everyone is doing their jobs. Drug and alcohol services are seeing young people with drug and alcohol problems, stop smoking services are seeing young smokers and will also offer some limited help to young vapers although that is not their main mission. There's not a huge amount of help for vapers because it simply isn't a public health issue on the scale of those other things. While it's certainly a problem, it's just nowhere near as harmful as smoking, alcohol or drugs. Services have tight budgets and they need to prioritise.
The goalpost you moved was saying there was no help available and demanding links as proof, when links were provided you changed the goalpost to proving that they actually provide the help listed in the links.
Here is what I said:
Please do tell me what help is available to a 16 y/o who can't stop vaping. Links would be good.
You still haven't managed to do that. Same goalposts, same place. Of course it matters that the orgs you linked to actually provide the help you say they do if that's what you're trying to show. None mention vaping, I think only the Greenwich one mentions smoking and following that link takes you to stop smoking services. Please point me to anything I have missed.
Asking "what have you tried?" and OP saying "absolutely everything. I took away her phone and then gave it back even though she hadn't stopped" would be the assessment required to know this is poor behaviour and not a medical problem.
You have such a vivid imagination!
Stop smoking services won't care about any of that, all they'll care about is whether she wants the help or not. And they won't be talking to the girl's mother in the first place, she's 16!