Bun E. Carlos smokes in other Cheap Trick videos - and obviously he wasn't aging well and now in fact has health problems.
There's smoking in this, one of the stranger videos I've ever seen.
Jefferson Starship-no way out - YouTube
There also is smoking in here.
Gregg Allman ~ Slip Away - YouTube
I haven't noticed a recent increase in smoking in music videos. If that's so, I suspect it's concentrated in rap videos and some of it is marijuana smoking. It's, er, highly unlikely that weed smoking would be sponsored. Meanwhile, I doubt that cigarette companies would pay for product placement, since how would viewers recognize specific brands?