I wake up much later than what I tell people.
Why would you tell people you wake up earlier than you do?
Well, I want to look cool and it boosts my esteem.
I understand that you want to feel good about yourself, but these little white lies can pile up into something eventually big. I suggest to just be true to yourself and actually wake up earlier.
I don't think there's anything weird about it, it's normal.
But if people find out, even the tiniest lies can change their perceptions of you. Just be yourself and they'll still accept you, I promise!