20 years ago i was in first grade and was educated about the dangers of smoking in school and at home. I knew for as long as I can remember that cigarettes caused cancer and other icky illnesses. The drug education classes in my kids school are more intense than I was a kid.
It sounds like during your upbringing you never heard that they were bad for you. Is that the fault of BT? Yes in part because they made the product, but I would say it is more the fault of parents/ guardians and a lacking educational system that did not inform you.
A large image of a cancerous tar filled lung on the pack may help people in your particular situation.
They knew what their products were doing even then. The strongest information I recall on a pack and the bottom of ads was "SG's Warning: This product may cause emphysema." I could read but didn't know or really care what the "e" problem was. The big "C" was heard about rarely, but disease wasn't the focus of my corner of the planet. Yes, it is the fault of BT for lying about their testing for decades. Reprehensible behavior.
My "particular situation" doesn't exist anymore: Children would have a difficult time buying analogs (even with a note from their mom); hospitals and doctor's offices don't have ashtrays standing by every 4th seat, etc.
You may be right, perhaps these ads would have an impact on children. I have no doubt they would have an impact on the children of smokers: terror for the child that mommy or daddy is going to die; and more guilt (likely expressed as angry defense) for the smoker.