I agree that I think the key is to make sure people know the value of starting with lessons and appropriate clothing and how to deal with friends/boyfriends/husbands who want to drag you down advanced slopes, etc... Share your joy, maybe it's contagious!
That said, one thing that comes to mine is that some people are NOT willing to risk falling. Sometimes that's somewhat irrational, and sometimes it's not. My massage therapist was dating a mountain biker and he kept dragging her out mountain biking. She is a single mom with a job where she CANNOT be injured and earn any money. She gave up the biking pretty fast, but that's not an unjustified fear. Sure, you can take it easy, take lessons, etc. but if you literally cannot afford to be injured? Maybe sticking to things with less speed and risk of collisions, etc. is a safer bet. Regardless of statistics and all the other ways you can get injured doing everyday things, if all you can think about when skiing or riding is that if you fall and get hurt you could be ruining your life and your child's life and wind up homeless, etc.... that's not going to be fun. Injuries aren't fun for anyone, but if you work at a desk, the same injury can be an inconvenience vs. a disaster if you're self employed and need full function to work.
LOL, I do think sometimes we get so caught up in the activities we love we can't stop trying to sell everyone on it. I mean, it's like the running jokes about crossfit or vegans or pickleball or whatever - I LOVE THIS THING YOU MUST DO IT!!!! WHY AREN'T YOU DOING IT???? It's lovely to share your joy about your favorite things, ask the right questions to be helpful if they are simply avoiding it because of an obstacle that's easily overcome..... and then let it go. It's never going to be for everyone.