I had two calls from "Apple Support" very very much like this in the past two weeks. Both times, their claim was that someone was trying to reset my Apple password and they were trying to protect me.

Both times, they asked me to go to a BS "apple-support" website and enter a six digit number they'd read out to me, where I'd see a transcript of this very phone call so I could then have full assurance that they were legit and working for Apple.

Uh huh.

And both times, when I asked them to just send me a quick email from their address at Apple (any address, even a generic inbox or support address) to assure me they worked for Apple ... pause ... [click]. Yeah.