Turn off the charger CB and all other appliances. Check the voltage (both legs on 50A) which should now be very close to the pedestal. Now turn on CBs, A/Cs, HW etc and recheck the voltage. The US standard is 120V +-10%. Your A/Cs may/may not be OK somewhat below 108V and I've found it rather difficult to determine the safe operating range. Your mileage may vary.
CGs tend towards lower pedestal voltage especially 30A plugs and summer A/C usage. This is due to the overall heavy amp draw. Plus the NEC allows for derating (maximum amps vs total of all CBs).
Personally I would check the AC voltage right where it enters the A/C but safety should be the major consideration.
With all AC removed including inverters all terminals should be checked. If fact making sure they are tight should be a annual check. As RVs vibrate and bounce down the road they become less than ideal. This results in voltage loss and heat buildup. All as in cord connections, junction boxes, ATS, EMS, CB panel, inverters and gens.