You are correct.
“Appropriated” would mean the original owner no longer had “it”.
A better word would be adopted or adapted.
Quite frankly we have been imitating each other since time began. Person A sees person B placing a nut on a rock before hitting it with another rock. Person A realizes that this works much better then placing a nut on the ground and hitting it with a rock. Person A then figures out that if you place the nut in an indentation in the rock it does not move as much when you hit it. Person B sees this and does the same.
Exchange of ideas begins and the first faltering steps toward civilization are taken.
If Person B had thrown a fit about ‘Cultural Appropriation’ no advancement would have happened.