As far as I know my Tesla S will take action at up to 145 kph (90 mph). I'm not sure if the latest updates apply to my 2015 car, if it does then AEB operates up to 200 kph (125 mph)
Yes, that's why I said "most". I'm sure there are some exceptions. However, I have also had friends complaining about their Tesla AEB slamming on the brakes at highway speeds for no reason.
I have had occasional phantom braking. But never anything that I would call slamming on the brakes. Just an unexpected slow down that is easily cleared by tapping the accelerator pedal. I'd rather it didn't happen but it has never caused any real trouble.