Agree with op. That first link is just crazy. At 3 years old kids are just starting to talk they have no idea what they are saying.
I say parents should not encourage any of this. Once they become teens then take what they are saying into consideration. Maybe seek guidance. But when they are as young as 3 thats just the parent pushing that belive unto the kids.
It takes genuine talent to see greatness in yourself despite your absence of genuine talent.