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I would agree with you if one of the two parallel plates
was moved toward another (and the third plate was
not present). Why? Because in this case V is the measure
of the total potential energy. But I am not sure that your
conclusion is justified for the "funny capacitor" where two
values of V must be known to determine the potential
energy.
We recognized that when the horizontal plate is allowed
to come closer (in a virtual displacement), the number
of field lines linking the horizontal plates directly becomes
smaller. That is why my original prediction was C2<C1.