I think there are many schools that have a combined approach. I once trained in an EBMAS school that did quite well in that regard.
The instructor would have the class work basic techniques, forms, 2-man exercises, but also added in focus mitt drills, free sparring, and the last 30 minutes of class was devoted to circuit training (the cardio and conditioning needed for fighting). His circuit would always contain elements of the class, but done in a fashion that combined fitness into the course. So it might be a round of jump rope, followed by a round of punching, followed by a round of side kicks, followed by a round of pushups, followed by a round of front kicks, leg climbers, sit ups, burpees, or whatever.
This basically addressed the training that all WC schools have, and added in the more dynamic training needed for real world fighting ability.
"I don't know if anyone is known with the art of "sitting on your couch" here, but in my eyes it is also to be a martial art.
It is the art of avoiding dangerous situations. It helps you to avoid a dangerous situation by not actually being there. So lets say there is a dangerous situation going on somewhere other than your couch. You are safely seated on your couch so you have in a nutshell "difused" the situation."