Alignment can play a big role in how the car reacts to the grooved lanes. AZ has covered most of their grooved with rubberized asphalt - mostly for noise reasons (they were cross grooved as well), but my cars have handled better as a result too.
I just took my 2010 Prius II on a 3000 mile road trip and I noticed that at speeds above 70mph there was some wandering and on concrete roads that have vertical lines in them the wandering can get pretty bad...but it day to day driving i find almost no wandering at all