You not only need to take the door into consideration, but the jamb and swing of the door. When someone tries to breach the door they're going to try and force the door inwards. If you have an inswing door with a wooden jamb enough force needs to be applied to break 2 fastners and ~3/4" of wood. Versus a metal jamb, outswing you are now applying force against a metal stop on 3 sides of the door. As to metal vs solid core, I would think both would hold up quite well against brute force with the later installation.
When was the last time out saw an outswinging entry door on a house? Yeah they exist, but they are rare. Even if they are used, they are still not hard to get into. It's going to make noise, but a metal pry bar of a decent length will provide more than enough leverage. Door jamb, door, hinges, lockset...somethings going to give.