Yeah, There is a fairly noticable difference between bodies. The two most popular bodies in the electric carpet classes are the Alfa Romeo, and the Dodge Stratus 2.0 ( based off the 2002 Dodge Stratus ).
The Alfa Romeo has lots of initial steering, but in my opinion, is like a pig off the corner.
The Dodge Stratus 2.0 has a good balance between front and rear downforce, so it still enters the corner well, but still transitions well too, rotating through the corner.
The old Stratus body ( The body style that was used in touring racing years back ) is probably the most balanced body of them all, but most racers have been using the Stratus 2.0 for a little more steering, but its still well balanced.