For a motor to deliver a set HP with lower voltage it has to draw more amps.
But why ASSUME a RV A/C works that way??? Indeed my A/C tests years ago showed that the amps decreased with decreased voltage which leads to a vary obvious conclusion: The A/C was producing less cooling and/or air movement.
I've never seen mfg specs that show A/C power consumption for varying voltage and temperature. Anyone have a link?
BUT my post was made to suggest that just measuring amps leaves out an important component namely voltage. And using an extension cord with a 10A CB suggests it's small and could have significant voltage drop.