I would venture to guess that the AC failures are not related to the generator usage, but due to age or other factors and are merely coincidental with the generator usage.
It's not clear to me whether "condenser" in this case refers to the outside coils of the cooling system that condense the refrigerant (which I cannot imagine could possibly be affected by the electrical power source used), or to the motor capacitor (which could be). The motor capacitor can die due to old age or other problems. The cooling system coils should be basically trouble-free unless they suffer mechanical damage or are corroded from the elements.