Throwing dummies are actually immune to some techniques that work on people.
And I still donāt buy the concept that two arts canāt be combined just because they use contradictory approaches. Most grappling styles have both push and pull in them.
Tibetan White Crane drills punches by pivoting the body sideways, using the torque of the full-body pivot to get power for the punch. But the body turns all the way until you face sideways to the enemy. That is how we drill the punch, but not necessarily how we would use it in a fight. It is an exaggerated movement designed to teach and develop full-body connection.
When I was training Tracy Kenpo, we would stand in a square horse facing forward and drill punches by keeping the shoulders square to the front, and punching straight ahead. It seemed to me that we were relying on muscle power of the arm and shoulder, and not really engaging the body.
Because I was doing both, I ended up not pivoting far enough when doing white crane, and pivoting too far to no longer be square facing the front when doing kenpo.
My white crane Sifu would tell me, āpivot more, you arenāt going far enoughā.
My kenpo teacher would tell me, āstop pivoting, keep your shoulders straight.ā
I was doing it wrong for each method, based on the parameters and standards of each method. Practicing kenpo was undermining my crane, and vice-versa.
Now, I could certainly continue to practice both methods. I could be very careful to compartmentalise my training and practice both methods, and try to not let them affect each other. But this is not efficient training.
If you want to be able to punch, you want to train a consistent method so that the skill becomes internalized within you and your body harnesses the power consistently and automatically.
What you do not need is multiple ways to throw a punch, multiple ways to harness power for the same technique. That inconsistency in the method will slow your development and confuse your automatic response if you need to throw a punch, under pressure. In terms of training, it is like trying to drive your car to the next town, but you canāt decide which of two routes to take. You get two miles down the road and then change your mind, so you go back and take the other route, but when you get two miles down the road you change your mind again and go back to the first route. And then again and again. You never reach the other town.
Pick a route and stick with it.
Pick a method and stick with it.
Training multiple systems that have conflicting methodology is like that. You simply need a reliable and effective punch. You DO NOT need two or five or eight different ways to power your punch. That may be of interest academically, but ultimately is not terribly useful.
So the incompatibility lies in the methodology, and not necessarily the body of techniques. You can swap and trade and adopt techniques from any other system, as long as they are compatible with a consistent methodology, or if the realm of combat is so different that there really is no overlap with the methodology.