Disproving this hypothesis is tricky, and Judea Pearl does a brilliant job of explaining the problem and its solution in his marvelous book: The Book of Why.
Fisher gets “assist points” for debilitating and killing millions, although full horrible credit goes to cigarette companies and their advertising co-conspirators.
Judea Pearl points out one cruel irony: The cholinergic receptor gene CHRNA5 that modulates risk of nicotine addiction also modulates lung cancer risk separately. To sort out the causality we now use Mendelian randomization.
Bottom line: smoking cigarettes does kill even when you tidy up the statistics and genetics.