The trouble with things like climbing is there are only so many mountains to go around. We already can't walk in many places because of cars. I don't look forward to the day that similar vehicles can go up mountains. The existence of mass-produced clothing doesn't affect your ability to do your own knitting, though.
> The trouble with things like climbing is there are only so many mountains to go around.
This is taking the metaphor far too far. Nobody is literally taking mountains away from people.
There's a big gap between "pretty much nobody" and the reality, which is somewhere between one third and two thirds of everybody. You might want to reflect on exactly how your perception diverged so radically from reality.
Do people in cities suffer from not being able to grow their own food and make their own clothes? I don't know for sure, but official statistics claim that, even today, they commit suicide at much higher rates despite having much less material scarcity. Robinsonades have been a popular genre of fiction for centuries, suggesting that people long for that kind of autonomy. Today, we also have zombie apocalypse fiction, RPGs, and preppers.
From another angle, sports consist entirely of skills and challenges which aren't needed and never have been, suggesting that they don't get forgotten. Hobbies also consist of skills and challenges which aren't needed.
It's not about climbing.