Weightlifting increases your resting metabolism, while cardio burns more calories per session. If you were doing either of these in the right ratio, and sampled weekly for total calories burned, you would not be able to tell the difference between the two.
Similarly, I'm not arguing that there is no difference between different therapies, just that the way we measure is only able to say the equivalent of "most types of regular exercise result in increased burning of calories"
Calories burned is just such a small part of exercising, weightlifting and running have massive differences in results in all other areas. Saying you can't tell the difference between the two is just ridiculous, I'm sorry.
But ok, let's just focus on the single aspect that makes your argument hold a drop of water: calories. If you try to burn as much calories with weightlifting you will end up at least overtrained if not injured (thousands of calories per day eaten by PED users does not count). Running on the other hand can get you to Auschwitz physique pretty safely.
Which brings me to another massive difference: the failure scenarios of both techniques. You can get injured and harm your health in completely different ways. Weight lifting has vastly higher injure rates. What about therapy? There is something that can influence you but only in a good way? No way to over do it or do it wrongly? And all techniques are equal in this regard as well? I can tell you another thing which has these properties of "all are equal, nothing can harm you": homeopathy. Because again, it doesn't do anything.
Similarly, I'm not arguing that there is no difference between different therapies, just that the way we measure is only able to say the equivalent of "most types of regular exercise result in increased burning of calories"