Originally Posted by
der_saeufer
Generally speaking, only EU/EEA nationals can use them, which makes sense because EU free movement rights and Schengen abolition of border controls are two different issues. An Irishman can use the e-gates in Brussels because it's impossible for him to "overstay" in a country where he has the right to live. Non-EU/EEA nationals generally can't use the gates. The only exception that comes to mind is the automated exit gates at AMS, but US, Canadian, etc. citizens get a stamp from an airport staffer after clearing the automated gate.
Yes, you're right. I had the wrong recollection that those e-gates were available at some airports (like AMS and LIS) for some countries like US and Canada when arriving and that there were no stamps involved, but it's only for exiting as you said. Maybe if passport cards ever become the norm.