[Tagging] Climbing access path

[k4r573n]

I would like to distinguish between hiking paths and climbing_access paths.
In my area only climbers are allowed to use the paths to access the cliffs.

Therefore I thought of this tagging for climbing_access paths:
  access=customers
  customers=climbers

what I found so far:
  path=climbing_access
  taginfo found 391 items
  eg here:
  http://overpass-turbo.eu/s/4sK

any suggestions how we should map this?

Karsten