This is a myth - running the chronograph does not use up more of the power reserve - the rate that energy is expended from the mainspring does not change when the chronograph is running compared to when it isn't running. Adding any complication to a running watch (running a chronograph, or any other intermittent load) adds friction to the watch that the spring has to overcome. The reason the watch stops sooner than without these added loads is due to the level of torque being supplied by the mainspring. When the torque from the spring can no longer overcome the loads, the watch stops. If you remove those loads, the watch will run again, so the actual power reserve is not affected.
You can demonstrate this easily by fully winding your chronograph, starting it, and letting it run until it stops. Once it stops, turn the chronograph off, and the watch will run again. Let it run down until it stops again, then add the total time the watch has run (chronograph on + chronograph off) and it will be the same amount of time as it would run if you wound it fully and let it run down without the chronograph being switched on.
Power reserve is a function of mainspring length and gearing - it's a fixed thing built into the design of the watch.
Cheers, Al
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