Just Post

It's highly unlikely that they adopted the British system.

The names for "floor" or "story" stem in many languages from the way houses were built in antiquity and the medieval period. Brick or stone walls for a base house that could be updated with wooden floors on top. Or variations in material, whatever.

The baseline is, those words come from material reality and exist in many languages and cultures and are not adopted from English.

The island of great Britain was highly uninfluential in antiquity and the middle ages.