Just a note that airconditioner compressors, aside from the inverter types, which will likely have active PFC on the input just to keep the main bridge current down from the charging of 8000uF of ultra low ESR capacitors, do not have PFC capacitors at all. The 40-75uF capacitor in there is to provide phase shift on the permanent split capacitor motor, which will typically have a PF of around 0.89 lagging in most instances. You can add an external PFC capacitor, but this will both add cost and mean you need a much more robust contactor to handle the capacitor inrush, and the start up current pulse will then be high enough to trip breakers. As it is inrush current is in the order of 60A for a few cycles as the compressor starts, pretty big for most loads but typical in air conditioning.
Fridges as well you can add external PFC, and there putting it before the control will work, as then it will mostly be PFC for the rest of the house, and the inrush there is generally lower at under 20A in most cases.