I have an '11 RT. For the last 3 years I have pretty much used Michelin Road Pilot 4's. Overall pretty satisfied. However once they start to wear (5k miles or so) they develop that "squareness" to the profile. On long hauls it is still good with overall tire life lasting up to 12 k or so. The problem is low speed "diving" into turns. I'm sure someone has described it better than I but with speeds of 25-35mph or less it sort of pulls the bars hard as you turn and the longer the wear the LESS that the steering is neutral.
I believe that year of RT's came stock with Metzeler Z7's(?). I did not notice that problem with them. Whad'ya think? The Michelin's are nice and sticky and wear nice but if I can find a tire that won't start doing that after 5000 miles I might just give them a try. I'm positive I can't be the only guy that this happens to.....a buddy has described this happening on his '08 RT, same tires.