Think of the bungee system that couples of the aileron/rudder system as a "trim" change where the change varies by the amount of control input through the ailerons and/or rudder pedals. In theory, the rudder would deflect slightly as one deflects the ailerons and vice versa. Of note is that while on the ground the steering system resists rudder deflection, which can also be felt ever so slightly in the yoke as it applies some resistance to the aileron. Keep in mind that it is a very soft coupling in the actual aircraft. In my experience, you see the effect far more with your eyes than you feel it through your hands and feet or in the response of the aircraft. I've flown several different Bonanzas with this linkage and all felt about the same to me.
This is the same issue as with elevator trim changes in flight simulation. In the real aircraft you hold the control surface in place by applying pressure and then trim out the force until control surface needs no more pressure to remain in place at the new neutral trimmed position. In our non force feedback flight sim world, we must gradually move the control back to the neutral position as trim is input to relieve the pressure we are applying to the control as you have already noted.
I have never used force feedback controls, but I assume that they could be made behave like the real world if the simulation models everything correctly. The end result being that the control neutral position will vary based on trim changes. That said, I do not believe it is that simple as the simulation engine likely perceives deflections from the centered neutral position as a deflection of the control surface from the "trimmed position". I'm not sure I am making sense here, but I believe it would take some external software to map things between the flight simulation engine and the FF control unless the sim engine natively accounted for this. Akar has also made a great post about how trim is very incorrectly modeled in pretty much every single flight sim where the trim effectively acts as an extension/reduction of the range of travel of the entire control surface in the trimmed direction.
As for what you need to do when flying the Bonanza or any aircraft in the sim or IRL. None of the above really matters in the end, you fly the Bonanza exactly the same way as any other aircraft. Use the primary flight controls to maneuver the aircraft as required. Don't let the machine fly you around as you are the pilot not a passenger

. Trim out control pressures as required for cruise or long climbs/descents.
Flight Simmer since 1983. PP ASEL IR Tailwheel
N28021 1979 Super Viking 17-30A