That is the ONLY thing your side can talk about, hurricanes and high pressure heat domes. That is local weather.
Also lying about January, when Earth is closest to Sun during its slightly elliptical orbit.
SAP is a planetary measure. A planet's standard SAP is dictated by the temperature of the planet as a whole, not local temps.
When the planet warms, SAP goes up, because all forms of air pressure are correlated with temperature, and warming and melting go together. Cooling actually doesn't cause melting, warming does. Whatever polar cap will melt/sublime and add molecules to atmosphere, increasing SAP, unless you can find a polar cap that somehow goes from solid to liquid without adding gas to atmosphere.