I found for my needs that having two different gens is a better way to go.
I have a 10yr old Chinese knock off 4Kw gen (similar to a Champion) that I take with me on my camping trips. Noisy but much quieter than the old Briggs type contractor gens.. It has 120V only output which makes it ideal for my TT. I use it only while traveling for food stops at rest stops or parking lots and sometimes to cool down the trailer for an hr at a WM parking lot for the evening..
Never would consider firing it up in a campground but public places like rest stops or parking places are fair game..
Due to my water well requiring 240V the 4Kw gen just won't work so a yr ago I finally bought a HF 8Kw gen to power a transfer system with priority circuits like lights, furnace and water well.
Fortunately I have a separate small one stall detached garage that I was able to place the HF gen in. The garage building is uninsulated but is all wooden structure. The garage does a great job of shielding the noise and with less than 20 feet between the house and garage you cannot hear the gen inside the house.
Totally happy with the setup.
Now if I was planning to camp in a campground and run a generator, I would then have to consider going with an inverter type..
I am not into ruffing it, and specifically look for camping with at least electricity included mainly because I don't feel like dealing with feeding generators or spending tons of money on solar for the short amount of camping I do per yr (two weeks tops).
My vacations are for walking away from hassles, not making more work or hassle for myself.