Earlier quoted context omitted.
The dominant risk when I ski is traveling to and from the resort. So I suppose your point stands if you only play from home. Even so, it seems a bit irrelevant to the discussion.
Maybe for you the travel to skiing is dominant, but I've known many people (UK acquaintances) who've been injured skiing but none who've been injured on route to go skiing. And that's just leisure skiing, in racing I'd imagine injuries are far more common.
For the last decade, every ski trip I've done has required either 4+ hours of driving or a cross-country plane trip. Add in the fact that much of that driving is on icy, narrow mountain roads in storm conditions, and the stats that other people shared make it clear that driving is the bigger risk to me.