I can't speak from experience on LP generators, but one problem with gasoline generators is the gasoline and the handling and storage of the liquid.
LP gas would be kept in the already mounted LP tank and I assume would as safe as any currently installed LP accessories.
I have a Harbor Freight Predator 2500 and I have found a way to extend the run time by pulling the fuel tank vent line from the air cleaner and attaching a small diameter line to a fuel storage can and letting the suction from the onboard fuel pump draw fuel into the
generator tank.
Honda have available caps that utilize the vent to do the same thing which is where I got the idea for my setup.
I tested this over the Ham Winter Field Day last weekend and it worked fine.
My thought is that a 1/4" nylon tube could perhaps be run into the TV gas tank to feed the
generator in lieu of having to have a separate fuel tank to deal with.
Perhaps a replacement cap for the TV with a hole drilled in it for the line.
I don't know if the modern anti-siphon protection would preclude it's use or not - yet.
On the plastic gas "can" I just ran the tube down the pouring spout and it worked for me.
Gasoline is quite a bit cheaper and easier to refill than LP gas.
In the case of emergency response I am setting up for extra gas would still be needed so there is that issue anyway.
Perhaps an outboard motor fuel tank would be the best compromise for extra fuel