Is it correct to use "climb down the stairs" in a sentence? [closed]

I can't find an appropriate definition in an open-access dictionary, but the full OED has...

climb - To raise oneself by grasping or clinging, or by the aid of hands and feet

...where on the same page they also list...

to climb down: - to descend by the same means (as that described above)

To my mind you can only really climb down the stairs if they're very steep / rickety (so you need to use your hands as well as your feet). But note that we often use constructions like climb up the hill even when there's no need to use one's hands (it just adds the implication of it being a steep hill).

You can climb down a tree or a cliff or a ladder but the sentence that most English speakers use for stairs would be "go down the stairs".

To be honest, most people wouldn't say "climb the stairs" to mean going up, the would just say "go up the stairs".