I would suggest that the reason that word count doesn't appear on Amazon (and others) is because there's no field for it on the software that produces the website.
I've been in those website design meetings. So. Many. Times.
"How about a field for word count?"
"No one would ever want that." said the committee member who'd never read a book.
"You can't add a new field now. My design would be ruined!" said the designer, clutching his pearls.
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