thats how it means to me and you are right it could mean different things to others.
I managed a E6 lab and push process meant extended time and pull meant under develop.
When shooting for lith , I will rate HP5 ISO for 800 which gives me more speed but if run normal the film would be under exposed. there fore pull.
I then run the 7min dev time to 12 minutes to compensate which I call a push.