The answer is "depends."
If we're in the same spot for a couple days or more and are doing a bunch of local driving or getting further into the back country to fish or hike, etc then we dump the camper at the campsite and don't re-load it until we leave.
Ours, and most newer campers I believe, is fine to use when off the truck.
It's just a game of is it easier to pack up the camper or unload it and not deal with it on the truck for X amount of time.
Generators are built in on some. Those typically run on propane. Super convienent, but use a fair amount of propane and they're loud in the camper. I prefer a separate generator for the above reasons, but the convienence of built in has its advantages sometimes too.
You'll find when you start weighing options that most every RV is a compromise in some respects and ideal in others. For now, a TC checks more of the ideal boxes than the compromise boxes.
Happy camper shopping!