I only use my 2KW Generator to power up my trailer on-board Converter/Charger to re-charge my battery bank each morning when allowed to run my generator. This takes around three hours of generator run time to get from my 50% charge state to its 90% charge state.
We use just about everything on the POPUP except the Air conditioner and high wattage microwave when we are camping off-grid. My battery bank will run all of the items we like to use and drop down to around 12.0VDC by 8Am the next morning when we want to re-charge it all back up to the 90% charge state.
My 2KW Honda small generator sits secured with a steel cable in the tailgate corner of my truck bed. My truck bed is covevered with one of those FOLD-A-COVER bed covers and is lockable.
When being used I just pull out my 2KW onto the truck tail gate and use. I do not run the generator frame round to earth ground but could be done I guess...
Been doing this since 2009 with my setup.
I have never had any issues with theft with the idea if it is out of sight it is safe.
My F150 truck looks like this photo with truck closed up and locked.