That's bullshit. That's just not how it works.
-) If he begins to work out, he will start to sleep way better almost immediately, very probably more than making up for the hour of sleep he might lose.
-)If he keeps at it, his resting heart-rate (along with recovery time, triglycerides, and many other things) will go down significantly, while his musculature and nervous system will get more efficient. His breathing will get deeper and more relaxed which again positively affects heart rate and the autonomous nervous system, and so on.
-) If he is like most people, exercising will additionally help him get rid of the insane cravings for unhealthy food we all sometimes experience.