I'm using the Elite controller with the standard cross-shaped D-pad. I have one paddle attached, which is mapped to the A button, but other than that I haven't customised any of the controls.
When I test the D-pad in menus, it never fails to register a press in any direction. However, when playing Titanfall, when in a titan you have to press down on the D-pad to activate the titan's core ability and I'm finding that sometimes I have to press the D-pad down about 10 times before it finally works.
It's very strange because like I said, if I'm just in a menu and I repeatedly press up and down over and over, it never fails to register my down press - it's only when I'm in the game that it does. I've never had this happen with the regular Xbox One controllers.