Updated with all new chart at the end!
When the oceans or one hemisphere relative to the other has different or lower than "normal" capacity, the rate of uptake or release of the ocean energy would of course change. That change can be seen, if you look hard enough, in various data that is readily available. Sea level is related to heat capacity, diurnal temperature differences and of course the rates of change in surface temperature would be related, to ocean heat capacity. and the distribution of that capacity. That simple means that "Sensitivity" changes. It will decay toward some new "normal".
I just thought a few folks might get a kick out of this non-standard view of Climate.