I know dohányzik is more common for smoking, so what would make someone want to use cigarettázik? Just to emphasize that it's a cigarette being smoked?
Basically, I guess yeah. There's also "szivarozik" for smoking a cigar and "pipázik" for smoking a pipe. And "cigizik" as a slang for smoking a cigarette.
Interestingly, since smoking cigarettes is the common thing to do, then you would just say dohányzik, and pretty much everybody would assume a cigarette so when somebody is smoking a pipe or a cigar we actually do specify most of the time.
It seems the "you" is plural so it would even be more than one colleague reading the package ^^