Relax, and enjoy the A/C.
Yes the transfer switch is designed to keep everyone safe. You have two inputs and only one output. The generator power can NOT be connected to the shore power - ever.
Once the power comes back on, the transfer switch will stay in generator run position. After you shut off the generator, then power is dropped from the relay, and then it can transfer back to shore power.
Your neighbors might want to plug into the RV. You can plug in your refrigerator, but not to many. Depends on how big the generator is. 4,000 watts will run one A/C at 1,400 watts, perhaps two. Each refrigerator or freezer is about 850 watts with about 500 more watts required to start the compressor. The A/C compressor takes about another 1,000 watts to start it. So if you plug in 2 refrigerators, and your A/C shuts off, it might not have enough power to restart it while the other refrigerators are plugged in.
With a 5,500 watt generator, then you can run 2 A/C units and 2 refrigerators, with enough reserve to start one of the A/C units at a time whenever that is required.
Fred.
Fred.