"We must keep fighting for the kind of world we want to live in. On this #DataPrivacyDay let us all insist on action and reform for vital privacy protections. The dangers are real and the consequences are too important." - Tim Cook today in what is now a bit ironic
I think it’s inappropriate to make (or imply) a call to action in a public forum to violate the privacy of a public figure (or anyone, but a public figure in this case). There’s low probability that Tim’s personal accounts or devices are easily accessible by the public, and I assume he has a team dedicated to his personal security, but let’s not encourage folks to start scheming...
I wouldn't be surprised if Apple has their own internal iCloud network. Just like Google has their Apps for Business, Apple could have one but just inwards-facing and not hosting any other business.
This means even if you have his internal FaceTime/iMessage ID, you wouldn't be able to contact him because his account and yours exist in 2 realms.
Then again I guess he'd need an external-facing one for public VVIP to FaceTime him. Maybe he just carries 2 phones?