Why do you keep insisting an unchanged rudder on a boat that is 20% longer and 25% heavier with the same propulsor has unchanged performance? There is no change in the water passing over the rudder but it has to do more work. Rudder effectiveness is a constant derived from experimental data during sea trials and is generated from size, water passing over it at various speeds, and length of the boat, if the rudder is unchanged and the length of the boat increases then rudder effectiveness therefore decreases at the same given speed (water over the rudder). Your arguing that if you take the rudder off a 30ft yacht and stick it on a 40ft yacht or a 60ft it will have the same effectiveness as on the 30ft.
(1) The stern appendages
are changed. The dihedral stabilizers are omitted, thus decreasing the dynamic stability in the horizontal plane compared to the case where they are retained. If we were talking about sailboats, this would be like lengthening the hull and then cutting off a section of the keel and/or skeg to compensate.
(2) The rudder effectiveness (in terms of how much lift force per unit rudder deflection it produces) is unchanged since the section and size of the rudder is unchanged. The same rudder on a longer hull produces the same force, but a greater torque due to the longer moment arm. This increased torque can compensate for the increase in the yaw moment of inertia (if the hull was drastically lengthened, the moment of inertia, which scales as L^2, would probably overwhelm the increase in rudder torque, which scales as L, but we are talking about a fairly modest length change).
It is the combination of these two components, dynamic stability and rudder effectiveness, that are most important for the submarine's turning circle diameter. As those two factors are probably unchanged from the short-hull Virginias, my conclusion is that the turning circle diameter is likely similar. It may be a bit larger, but 50% seems like a gross overestimate.
To directly address your last sentence, that is not what I am saying. In terms of your analogy, if you were to take a rudder off a 30-foot boat and put it on a 36-foot boat, while also removing some fixed keel/skeg to keep the dynamic stability constant, indeed the two boats would turn similarly. I recommend that you read the Burcher and Rydill book that I mentioned.
Edit: Also not really sure why you mention the propulsor as it is not relevant to this discussion.