The U360 raw analog pins send 0-5 volts depending on the position, with 2.5 volts at center.
If you don't have an encoder connected to the header you will need to fool the U360 into operating in output mode on the header by connecting 2k2 pull-up resistors on the 4 digital direction pins.
The question is what do the console controllers expect to see. Most of them do use small pot type analog controls but it depends on whether they operate using a true A-D converter (as the U360 does) or some kind of R-C timing circuit. Its also likely that the controller multiplexes its analog controls by turning on and off the voltage on each pot, in which case it would not work at all.
Andy