Such differences are actually at the heart of climbing. Is taking a helicopter up to the top climbing? Of course not. So from day one it is not about getting to the top but about following invented rules governing how you get to the top. How about a bolted-on ladder? Or pre-placed protection (bolts)? Clean trad, leaving the rock as you found it, is generally seen as the highest form.

(Climbing rock without ropes may be more "pure" but is so dangerous that it should never be idolized.)

Cams? Real climbers use stones wrapped with hawser!

This one-upmanship is very much part of climbing culture. From the top down, the hierarchy is: free soloists (climbing at height without any protection), trad climbers (carry the rope up with them, set their own protection), sports lead climbers (carry the rope up with them, bolts are set into the wall), top rope climbers (rope already there dangling from the top). Right down the bottom, you have aid climbing, when you use equipment to haul yourself up on a rope.

And then there's indoors vs. outdoors, with some dedicated outdoor climbers regarding anything done in a climbing gym as "not real climbing".

Most people don't take this literally, and it's generally considered to be a standing joke in climbing. Sadly, though, some people take it very seriously.