This mostly matches my experience. By far the most intense version of this I’ve had was the time I tried to play Chess and Go simultaneously (against two different people). I started sweating and shaking. This seems to suggest that not only is thinking a physical effort, you can push yourself much harder under some conditions than others (just like how deadlifts will physically exhaust you much faster than pushups, even if you push yourself to do pushups as hard as you think you can).
This mostly matches my experience. By far the most intense version of this I’ve had was the time I tried to play Chess and Go simultaneously (against two different people). I started sweating and shaking. This seems to suggest that not only is thinking a physical effort, you can push yourself much harder under some conditions than others (just like how deadlifts will physically exhaust you much faster than pushups, even if you push yourself to do pushups as hard as you think you can).