An outdoor kitchen usually takes space out of the bathroom and you still have an indoor kitchen.
I carry a knock-down 22” Weber charcoal kettle grill and a solid surface hot plate for cooking outside. I used to have a 2 burner Coleman camp stove which worked well.
I don’t have an outside sink, but it wouldn’t be difficult to rig one up. I do have an outside hose with a sprayer.
I have never liked the dorm style fridge found in most o/s kitchens.
As previously stated, you probably won’t find an o/s kitchen in something that can be pulled by your Pilot.