We have over 100K miles on our 2011 Terrain (4cly - elect steering) and probably close to 20K miles as a toad. We have never experienced this problem, but I've heard of other who have. Seems to me the fix would be to energize the electric steering when in tow. Not sure how that can be done, nor if it would do the trick.
I'll be following this post.
Ron, Sandie and Lilly
2013 Tiffin Phaeton 42LH 400 ISL | 2011 GMC Terrain SLT-2
Roadmaster All Terrain | US Gear Unified Brake System | Pressure Pro