If you watch your rudder plane, you'll notice that it also banks in a turn. With enough dihedral, rudder rolls are possible.
Realistically speaking, you won't notice much difference in the way an aileron plane flies versus a rudder plane. Aileronaphobia, the fear of ailerons

, is an irrational fear. What you definitely do NOT want to do is disable the ailerons. Without the dihedral, the rudder won't cause the plane to bank properly on rudder only.