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They don't care about their data privacy. I've heard this claim many times, but the people saying it often change their minds when they read more news stories.

"People don't care about a problem initially, then when it becomes graver they start to care"

So normal, expected behaviour?

Just use a throwaway email account AND keep it? At some point they might decide to lock you out if you log in from a different place, I think it's better if you keep the email account safe.

What makes you say so? Can you give examples?