Non-competes, like so many other workplace rules, only apply below the C-suite
As a grunt who was handcuffed for three months after switching jobs while my former employer and my new employer tried to sort out what I was and wasn't allowed to do... no, this is not true. And the document I ended up having to sign means I can't say anything other than Amazon (former employer), Microsoft (new employer), and myself came to a mutual agreement.