Sure but the wizard gets down automatically, no questions asked. The fighter, depending on situation, is going to have to roll to get down.
The counterpoint, of course, is that the wizard expended a fungible resource so should get a benefit. But the fighter doesn't even get a choice.
It kind of does though -it allows the player to bypass the barrier on his terms as opposed to having to interact with the DMs set encounter. Is the climb down easy (DC 5) or because of conditions really hard (DC 20). Is there a hidden trap of some kind that cuts the rope as the character descends? Wizard doesn't care - he's bypassed the challenge - that's narrative control.
But, there are other more clear cut examples. The McGuffin the PCs need ASAP is 1,000 miles away. a 13th level group with a wizard researched the location and boom they're there (even with a bad mishap they'll still get there relatively quickly) - unless the DM uses DM fiat to not allow it. The group without a caster able to cast teleport? They have to either mother may I the DM into finding a way to teleport (or otherwise get there quickly) or resign themselves to a very different trek then the prior group. Because casters can set the pace of play.