Don't get hung up in the 6am meme. Most people are stronger in the afternoon (due to the nervous system being fully online), besides you can be both healthy and productive with a routine that involves sleeping a little longer.
If you're meeting your personal trainer at 6am that means you need to be falling asleep by 9pm or something otherwise you're sabotaging yourself.
People in general thinking it is productive to to wake up early for no other reason than waking up early to be productive is also a meme.