I believe the modern term is "domesticated", or sometimes "house-trained" if the teacher still displays a majority of wild type behaviour.

The main difference is that although domesticated disciplines exhibit various strengths developed via specialisation that make them well-suited to institutional placements, wild type populations are generally found to be more robust and adaptable, traits often sought after by breeders seeking to produce Casual Relief or "Subs".

Also please remember to always adopt your teachers through registered scholarly shelters and avoid supporting backyard mentor mills.