That depends on whether or not you can fly.
When I took climbing, as a teenager, our instructor was very serious about getting the best stuff: shoes, ropes, crampons, carabiners, gloves, jackets, etc.
Not cheap, but he put it as “do you want to die?”.
Same with diving gear.
Crampons are not remotely close to standard rock climbing gear. Mountaineering yes, climbing no.