Depends on how it’s done, been drop starting for longer than most on here have been alive, never once been injured by a running saw. Only cuts I’ve received have been during sharpening.
Yep, I've never so much as nicked a boot with a running saw--a moving chain has never touched me in almost 50 yrs of cutting. However, have drawn plenty of blood in small cuts when sharpening. Every damn time I say, next time use gloves. But how ya gonna handle that file with gloves on?