I am not sure what you mean by "TV alternator" but assume you meant the truck alternator. I drive a diesel with 2 batteries and large capacity alternator so there really is no additional wear and tear on the alternator.
As to the generator, it would only be needed if the campground does not have electricity. The use of mostly electric certainly does depend on how one intends to use the trailer.
As to the propane refrigerator, however, I don't like them for two reasons: cost & ineffeciency. It would have cost me about $1400 more to have replaced with a propane refrigerator than what I paid for the electric one. The installation is much more difficult on a propane one as well. A propane box does not use a fan to distribute the cold air so some things dont get as cold as others if you fill it up.
I don't intend to use it without hookups, but did take my generator to Houston with me because of power outages after the hurricane. Fortunately the rv park got power the day I arrived so I never used the generator. If I take it hunting, I will use the generator part of the time and run off of the batteries when I don't need the 120v. The refrigerator can stay off for a few hours especially if I have ice in it so short haul towing is not even a problem.