Yup, I have that too sometimes. (the second thing on my list for the first service after my transmission gremlin) I don't have it all the time, most of the time it is solid and but occasionally I get something that sounds like some mechanical play in the columnit's strange, it feels like something is loose, not the steering wheel but the column that the steering wheel attaches to, this only happens when going over dips or bumps, any time the wheels take impact.
i find the steering nicely weighted at speed but the cars very twitchy heavy winds.The electric power steering on this car sucks big time. Feels like crap, it's overboosted even at highway speeds, which is retarded, and feels like it's disconnected from the wheels indeed, especially on bumps, etc. Unfortunately, it's the way of the future. Even the new BMW 5 series have electric steering now, but I can't imagine being nearly this crappy.
I would have them go directly to the "lower control arm bushings". What you are experiencing may be the by-product of those bushings not being tight enough or defective.Understand that this is an old thread but my 2011 Sonata GLS does the same thing (purchased 1/2011). It feels as if the steering column and front subframe are loose and it is particularly bad on washboard surfaces. (there are many of these in NJ.) Dealer has no idea what the problem is but is willing to "work" with me to try and find the problem. If anyone has any insight, I would appreciate it. I have less than 3,000 miles on the clock and hope that this isn't a start of more problems.