No matter what anyone says, as soon as we're talking high Fs, there MUST be some mixing going on -- no one's chords could handle it otherwise. We just aren't pysiologically able to do that. Some people throw more head voice in, and some throw more chest in, but it is still a mix.
And, for those who say Eden's voice is gonna be trashed, I think you'll be surprised in ten and twenty years, when she can still do it. She mixes (much like Patti Lupone), and will always be able to. Her belt technique (even if you don't like her tone) is pretty flawless. And as such, she saves her voice quite a lot of damage.
"Fundamentalism means never having to say 'I'm wrong.'"
-- unknown