I don't have a 2016, and my 2011 doesn't even have AWD, but I thought switchable AWD was a new phenomena for the Gen-3 Equinox/Terrain (2018 and beyond).
In other words - I don't think the Gen-2's (or, actually ... Gen-1 Terrain, since the Terrain started with the Gen-2 Equinox) came with that capability.
Someone else will chime in shortly to confirm.
2011 Equinox 1LT (dlvd. Jan 2011): Summit White / 3.0 L V6 / FWD / Pioneer Stereo / 18" Wheels / 143k miles [15-MAR-2020]
2002 Impala 1LT (dlvd. Jun 2002): Summit White / 3.4 L V6 / FWD / Cassette-CD Combo /230k miles [15-MAR-2020]