Hey John,
I can't say I've seen a Thule hitch before, and the picture on Rigids website is of a GMT900 hitch. With that said the Thule hitch is most likely Valley Towing hitch part number 82540, as the Thule group owns Valley. The Valley hitch is not hidden on the Equinox. Unfortunately because of the design of the weld nuts that the hitch bolts to on your SUV the cross tube of the hitch will be exposed. This is true for Curt, Draw Tite, Reese and Hidden Hitch hitches. Most of the hitches will look like this one from Curt

I hope this answers your question.
Will