Trad lead is climbing. Basically everything else is some sort of simulation.
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.
(Climbing rock without ropes may be more "pure" but is so dangerous that it should never be idolized.)