The model's response agrees with observations, including the long record of
geopotential height variations (a function of temperature throughout the lower atmosphere), implying that these observed 10 - 12 year oscillations are likely driven, at least partially, by solar variability.
If one maintains that ENSO forces the polar circulations one ignores the coupling of the stratosphere and the troposphere at high latitudes that manifest as a pattern of
Geopotential height variations throughout the atmospheric column that is in turn deterministic of surface atmospheric pressure.