A USB 2.0 device is usually supposed[1] to just short the two possible positions of each data pin in its USB-C port (the four power pins are always shorted, of course, as are the four ground ones). Orientation sensing only comes into play when you start using the SuperSpeed lanes (for signal interference reasons).

[1] https://www.microchip.com/en-us/application-notes/an1953, 1.3.1